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Finding the Third Proportional to 107,520.75 and 170,785.13

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Solution

The third proportional to 107,520.75 and 170,785.13 is: 271,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,520.75 : 170,785.13 = 170,785.13 : x
  2. Step 2: Convert to fraction form
    107,520.75/170,785.13 = 170,785.13/x
  3. Step 3: Cross multiply
    107,520.75x = 170,785.13 × 170,785.13
  4. Step 4: Simplify right side
    107,520.75x = 29,167,558,921.27
  5. Step 5: Solve for x
    x = 29,167,558,921.27/107,520.75
  6. Step 6: Final answer
    x = 271,273.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.