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Finding the Third Proportional to 63,449 and 98,817

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Solution

The third proportional to 63,449 and 98,817 is: 153,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,449 : 98,817 = 98,817 : x
  2. Step 2: Convert to fraction form
    63,449/98,817 = 98,817/x
  3. Step 3: Cross multiply
    63,449x = 98,817 × 98,817
  4. Step 4: Simplify right side
    63,449x = 9,764,799,489
  5. Step 5: Solve for x
    x = 9,764,799,489/63,449
  6. Step 6: Final answer
    x = 153,899.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.