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Finding the Third Proportional to 65,629 and 98,423

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Solution

The third proportional to 65,629 and 98,423 is: 147,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,629 : 98,423 = 98,423 : x
  2. Step 2: Convert to fraction form
    65,629/98,423 = 98,423/x
  3. Step 3: Cross multiply
    65,629x = 98,423 × 98,423
  4. Step 4: Simplify right side
    65,629x = 9,687,086,929
  5. Step 5: Solve for x
    x = 9,687,086,929/65,629
  6. Step 6: Final answer
    x = 147,603.76

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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.