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Finding the Third Proportional to 62,425 and 96,551

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Solution

The third proportional to 62,425 and 96,551 is: 149,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,425 : 96,551 = 96,551 : x
  2. Step 2: Convert to fraction form
    62,425/96,551 = 96,551/x
  3. Step 3: Cross multiply
    62,425x = 96,551 × 96,551
  4. Step 4: Simplify right side
    62,425x = 9,322,095,601
  5. Step 5: Solve for x
    x = 9,322,095,601/62,425
  6. Step 6: Final answer
    x = 149,332.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.