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Finding the Third Proportional to 73,881.38 and 117,007.13

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Solution

The third proportional to 73,881.38 and 117,007.13 is: 185,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,881.38 : 117,007.13 = 117,007.13 : x
  2. Step 2: Convert to fraction form
    73,881.38/117,007.13 = 117,007.13/x
  3. Step 3: Cross multiply
    73,881.38x = 117,007.13 × 117,007.13
  4. Step 4: Simplify right side
    73,881.38x = 13,690,667,300.77
  5. Step 5: Solve for x
    x = 13,690,667,300.77/73,881.38
  6. Step 6: Final answer
    x = 185,306.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.