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Finding the Third Proportional to 62,782 and 96,940

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Solution

The third proportional to 62,782 and 96,940 is: 149,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,782 : 96,940 = 96,940 : x
  2. Step 2: Convert to fraction form
    62,782/96,940 = 96,940/x
  3. Step 3: Cross multiply
    62,782x = 96,940 × 96,940
  4. Step 4: Simplify right side
    62,782x = 9,397,363,600
  5. Step 5: Solve for x
    x = 9,397,363,600/62,782
  6. Step 6: Final answer
    x = 149,682.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.