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Finding the Third Proportional to 65,614 and 101,793

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Solution

The third proportional to 65,614 and 101,793 is: 157,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614 : 101,793 = 101,793 : x
  2. Step 2: Convert to fraction form
    65,614/101,793 = 101,793/x
  3. Step 3: Cross multiply
    65,614x = 101,793 × 101,793
  4. Step 4: Simplify right side
    65,614x = 10,361,814,849
  5. Step 5: Solve for x
    x = 10,361,814,849/65,614
  6. Step 6: Final answer
    x = 157,920.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.