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Finding the Third Proportional to 63,304 and 98,412

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Solution

The third proportional to 63,304 and 98,412 is: 152,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,304 : 98,412 = 98,412 : x
  2. Step 2: Convert to fraction form
    63,304/98,412 = 98,412/x
  3. Step 3: Cross multiply
    63,304x = 98,412 × 98,412
  4. Step 4: Simplify right side
    63,304x = 9,684,921,744
  5. Step 5: Solve for x
    x = 9,684,921,744/63,304
  6. Step 6: Final answer
    x = 152,990.68

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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.