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Finding the Third Proportional to 73,042.38 and 109,273.11

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Solution

The third proportional to 73,042.38 and 109,273.11 is: 163,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,042.38 : 109,273.11 = 109,273.11 : x
  2. Step 2: Convert to fraction form
    73,042.38/109,273.11 = 109,273.11/x
  3. Step 3: Cross multiply
    73,042.38x = 109,273.11 × 109,273.11
  4. Step 4: Simplify right side
    73,042.38x = 11,940,613,286.18
  5. Step 5: Solve for x
    x = 11,940,613,286.18/73,042.38
  6. Step 6: Final answer
    x = 163,475.13

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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.