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Finding the Third Proportional to 91,917 and 140,548

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Solution

The third proportional to 91,917 and 140,548 is: 214,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,917 : 140,548 = 140,548 : x
  2. Step 2: Convert to fraction form
    91,917/140,548 = 140,548/x
  3. Step 3: Cross multiply
    91,917x = 140,548 × 140,548
  4. Step 4: Simplify right side
    91,917x = 19,753,740,304
  5. Step 5: Solve for x
    x = 19,753,740,304/91,917
  6. Step 6: Final answer
    x = 214,908.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.