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Finding the Third Proportional to 75,207.38 and 112,827.38

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Solution

The third proportional to 75,207.38 and 112,827.38 is: 169,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,207.38 : 112,827.38 = 112,827.38 : x
  2. Step 2: Convert to fraction form
    75,207.38/112,827.38 = 112,827.38/x
  3. Step 3: Cross multiply
    75,207.38x = 112,827.38 × 112,827.38
  4. Step 4: Simplify right side
    75,207.38x = 12,730,016,549.39
  5. Step 5: Solve for x
    x = 12,730,016,549.39/75,207.38
  6. Step 6: Final answer
    x = 169,265.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.