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Finding the Third Proportional to 65,662 and 98,469

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Solution

The third proportional to 65,662 and 98,469 is: 147,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,662 : 98,469 = 98,469 : x
  2. Step 2: Convert to fraction form
    65,662/98,469 = 98,469/x
  3. Step 3: Cross multiply
    65,662x = 98,469 × 98,469
  4. Step 4: Simplify right side
    65,662x = 9,696,143,961
  5. Step 5: Solve for x
    x = 9,696,143,961/65,662
  6. Step 6: Final answer
    x = 147,667.51

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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.