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Finding the Third Proportional to 55,760.91 and 86,371.31

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Solution

The third proportional to 55,760.91 and 86,371.31 is: 133,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,760.91 : 86,371.31 = 86,371.31 : x
  2. Step 2: Convert to fraction form
    55,760.91/86,371.31 = 86,371.31/x
  3. Step 3: Cross multiply
    55,760.91x = 86,371.31 × 86,371.31
  4. Step 4: Simplify right side
    55,760.91x = 7,460,003,622.97
  5. Step 5: Solve for x
    x = 7,460,003,622.97/55,760.91
  6. Step 6: Final answer
    x = 133,785.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.