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Finding the Third Proportional to 57,565.13 and 92,242.13

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Solution

The third proportional to 57,565.13 and 92,242.13 is: 147,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.13 : 92,242.13 = 92,242.13 : x
  2. Step 2: Convert to fraction form
    57,565.13/92,242.13 = 92,242.13/x
  3. Step 3: Cross multiply
    57,565.13x = 92,242.13 × 92,242.13
  4. Step 4: Simplify right side
    57,565.13x = 8,508,609,624.52
  5. Step 5: Solve for x
    x = 8,508,609,624.52/57,565.13
  6. Step 6: Final answer
    x = 147,808.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.