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Finding the Third Proportional to 62,474 and 99,920

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Solution

The third proportional to 62,474 and 99,920 is: 159,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,474 : 99,920 = 99,920 : x
  2. Step 2: Convert to fraction form
    62,474/99,920 = 99,920/x
  3. Step 3: Cross multiply
    62,474x = 99,920 × 99,920
  4. Step 4: Simplify right side
    62,474x = 9,984,006,400
  5. Step 5: Solve for x
    x = 9,984,006,400/62,474
  6. Step 6: Final answer
    x = 159,810.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.