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Finding the Third Proportional to 80,661 and 125,409

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Solution

The third proportional to 80,661 and 125,409 is: 194,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,661 : 125,409 = 125,409 : x
  2. Step 2: Convert to fraction form
    80,661/125,409 = 125,409/x
  3. Step 3: Cross multiply
    80,661x = 125,409 × 125,409
  4. Step 4: Simplify right side
    80,661x = 15,727,417,281
  5. Step 5: Solve for x
    x = 15,727,417,281/80,661
  6. Step 6: Final answer
    x = 194,981.68

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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.