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Finding the Third Proportional to 55,689 and 86,171.25

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Solution

The third proportional to 55,689 and 86,171.25 is: 133,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689 : 86,171.25 = 86,171.25 : x
  2. Step 2: Convert to fraction form
    55,689/86,171.25 = 86,171.25/x
  3. Step 3: Cross multiply
    55,689x = 86,171.25 × 86,171.25
  4. Step 4: Simplify right side
    55,689x = 7,425,484,326.56
  5. Step 5: Solve for x
    x = 7,425,484,326.56/55,689
  6. Step 6: Final answer
    x = 133,338.44

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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.