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Finding the Third Proportional to 63,482 and 96,469

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Solution

The third proportional to 63,482 and 96,469 is: 146,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,482 : 96,469 = 96,469 : x
  2. Step 2: Convert to fraction form
    63,482/96,469 = 96,469/x
  3. Step 3: Cross multiply
    63,482x = 96,469 × 96,469
  4. Step 4: Simplify right side
    63,482x = 9,306,267,961
  5. Step 5: Solve for x
    x = 9,306,267,961/63,482
  6. Step 6: Final answer
    x = 146,596.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.