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Finding the Third Proportional to 65,340.75 and 92,016

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Solution

The third proportional to 65,340.75 and 92,016 is: 129,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340.75 : 92,016 = 92,016 : x
  2. Step 2: Convert to fraction form
    65,340.75/92,016 = 92,016/x
  3. Step 3: Cross multiply
    65,340.75x = 92,016 × 92,016
  4. Step 4: Simplify right side
    65,340.75x = 8,466,944,256
  5. Step 5: Solve for x
    x = 8,466,944,256/65,340.75
  6. Step 6: Final answer
    x = 129,581.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.