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Finding the Third Proportional to 74,524 and 96,801

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Solution

The third proportional to 74,524 and 96,801 is: 125,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524 : 96,801 = 96,801 : x
  2. Step 2: Convert to fraction form
    74,524/96,801 = 96,801/x
  3. Step 3: Cross multiply
    74,524x = 96,801 × 96,801
  4. Step 4: Simplify right side
    74,524x = 9,370,433,601
  5. Step 5: Solve for x
    x = 9,370,433,601/74,524
  6. Step 6: Final answer
    x = 125,737.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.