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Finding the Third Proportional to 55,542.75 and 86,028

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Solution

The third proportional to 55,542.75 and 86,028 is: 133,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542.75 : 86,028 = 86,028 : x
  2. Step 2: Convert to fraction form
    55,542.75/86,028 = 86,028/x
  3. Step 3: Cross multiply
    55,542.75x = 86,028 × 86,028
  4. Step 4: Simplify right side
    55,542.75x = 7,400,816,784
  5. Step 5: Solve for x
    x = 7,400,816,784/55,542.75
  6. Step 6: Final answer
    x = 133,245.42

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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.