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Finding the Third Proportional to 80,566 and 121,337

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Solution

The third proportional to 80,566 and 121,337 is: 182,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,566 : 121,337 = 121,337 : x
  2. Step 2: Convert to fraction form
    80,566/121,337 = 121,337/x
  3. Step 3: Cross multiply
    80,566x = 121,337 × 121,337
  4. Step 4: Simplify right side
    80,566x = 14,722,667,569
  5. Step 5: Solve for x
    x = 14,722,667,569/80,566
  6. Step 6: Final answer
    x = 182,740.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.