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Finding the Third Proportional to 55,693 and 86,177

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Solution

The third proportional to 55,693 and 86,177 is: 133,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,693 : 86,177 = 86,177 : x
  2. Step 2: Convert to fraction form
    55,693/86,177 = 86,177/x
  3. Step 3: Cross multiply
    55,693x = 86,177 × 86,177
  4. Step 4: Simplify right side
    55,693x = 7,426,475,329
  5. Step 5: Solve for x
    x = 7,426,475,329/55,693
  6. Step 6: Final answer
    x = 133,346.66

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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.