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Finding the Third Proportional to 55,240 and 86,413

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Solution

The third proportional to 55,240 and 86,413 is: 135,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,240 : 86,413 = 86,413 : x
  2. Step 2: Convert to fraction form
    55,240/86,413 = 86,413/x
  3. Step 3: Cross multiply
    55,240x = 86,413 × 86,413
  4. Step 4: Simplify right side
    55,240x = 7,467,206,569
  5. Step 5: Solve for x
    x = 7,467,206,569/55,240
  6. Step 6: Final answer
    x = 135,177.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.