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Finding the Third Proportional to 55,734 and 86,394

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Solution

The third proportional to 55,734 and 86,394 is: 133,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734 : 86,394 = 86,394 : x
  2. Step 2: Convert to fraction form
    55,734/86,394 = 86,394/x
  3. Step 3: Cross multiply
    55,734x = 86,394 × 86,394
  4. Step 4: Simplify right side
    55,734x = 7,463,923,236
  5. Step 5: Solve for x
    x = 7,463,923,236/55,734
  6. Step 6: Final answer
    x = 133,920.47

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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.