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Finding the Third Proportional to 56,608.50 and 83,265

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Solution

The third proportional to 56,608.50 and 83,265 is: 122,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,608.50 : 83,265 = 83,265 : x
  2. Step 2: Convert to fraction form
    56,608.50/83,265 = 83,265/x
  3. Step 3: Cross multiply
    56,608.50x = 83,265 × 83,265
  4. Step 4: Simplify right side
    56,608.50x = 6,933,060,225
  5. Step 5: Solve for x
    x = 6,933,060,225/56,608.50
  6. Step 6: Final answer
    x = 122,473.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.