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Finding the Third Proportional to 75,909.75 and 113,446.13

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Solution

The third proportional to 75,909.75 and 113,446.13 is: 169,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.75 : 113,446.13 = 113,446.13 : x
  2. Step 2: Convert to fraction form
    75,909.75/113,446.13 = 113,446.13/x
  3. Step 3: Cross multiply
    75,909.75x = 113,446.13 × 113,446.13
  4. Step 4: Simplify right side
    75,909.75x = 12,870,023,277.52
  5. Step 5: Solve for x
    x = 12,870,023,277.52/75,909.75
  6. Step 6: Final answer
    x = 169,543.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.