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Finding the Third Proportional to 63,498 and 100,462

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Solution

The third proportional to 63,498 and 100,462 is: 158,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,498 : 100,462 = 100,462 : x
  2. Step 2: Convert to fraction form
    63,498/100,462 = 100,462/x
  3. Step 3: Cross multiply
    63,498x = 100,462 × 100,462
  4. Step 4: Simplify right side
    63,498x = 10,092,613,444
  5. Step 5: Solve for x
    x = 10,092,613,444/63,498
  6. Step 6: Final answer
    x = 158,943.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.