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Finding the Third Proportional to 65,654.25 and 98,457.38

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Solution

The third proportional to 65,654.25 and 98,457.38 is: 147,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654.25 : 98,457.38 = 98,457.38 : x
  2. Step 2: Convert to fraction form
    65,654.25/98,457.38 = 98,457.38/x
  3. Step 3: Cross multiply
    65,654.25x = 98,457.38 × 98,457.38
  4. Step 4: Simplify right side
    65,654.25x = 9,693,854,691.89
  5. Step 5: Solve for x
    x = 9,693,854,691.89/65,654.25
  6. Step 6: Final answer
    x = 147,650.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.