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Finding the Third Proportional to 36,099 and 54,148.50

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Solution

The third proportional to 36,099 and 54,148.50 is: 81,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099 : 54,148.50 = 54,148.50 : x
  2. Step 2: Convert to fraction form
    36,099/54,148.50 = 54,148.50/x
  3. Step 3: Cross multiply
    36,099x = 54,148.50 × 54,148.50
  4. Step 4: Simplify right side
    36,099x = 2,932,060,052.25
  5. Step 5: Solve for x
    x = 2,932,060,052.25/36,099
  6. Step 6: Final answer
    x = 81,222.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.