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Finding the Third Proportional to 36,154.50 and 74,070.75

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Solution

The third proportional to 36,154.50 and 74,070.75 is: 151,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154.50 : 74,070.75 = 74,070.75 : x
  2. Step 2: Convert to fraction form
    36,154.50/74,070.75 = 74,070.75/x
  3. Step 3: Cross multiply
    36,154.50x = 74,070.75 × 74,070.75
  4. Step 4: Simplify right side
    36,154.50x = 5,486,476,005.56
  5. Step 5: Solve for x
    x = 5,486,476,005.56/36,154.50
  6. Step 6: Final answer
    x = 151,750.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.