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Finding the Third Proportional to 50,358.75 and 109,708.13

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Solution

The third proportional to 50,358.75 and 109,708.13 is: 239,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,358.75 : 109,708.13 = 109,708.13 : x
  2. Step 2: Convert to fraction form
    50,358.75/109,708.13 = 109,708.13/x
  3. Step 3: Cross multiply
    50,358.75x = 109,708.13 × 109,708.13
  4. Step 4: Simplify right side
    50,358.75x = 12,035,872,691.02
  5. Step 5: Solve for x
    x = 12,035,872,691.02/50,358.75
  6. Step 6: Final answer
    x = 239,002.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.