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Finding the Third Proportional to 55,744 and 86,350

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Solution

The third proportional to 55,744 and 86,350 is: 133,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,744 : 86,350 = 86,350 : x
  2. Step 2: Convert to fraction form
    55,744/86,350 = 86,350/x
  3. Step 3: Cross multiply
    55,744x = 86,350 × 86,350
  4. Step 4: Simplify right side
    55,744x = 7,456,322,500
  5. Step 5: Solve for x
    x = 7,456,322,500/55,744
  6. Step 6: Final answer
    x = 133,760.09

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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.