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Finding the Third Proportional to 80,120 and 124,554

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Solution

The third proportional to 80,120 and 124,554 is: 193,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120 : 124,554 = 124,554 : x
  2. Step 2: Convert to fraction form
    80,120/124,554 = 124,554/x
  3. Step 3: Cross multiply
    80,120x = 124,554 × 124,554
  4. Step 4: Simplify right side
    80,120x = 15,513,698,916
  5. Step 5: Solve for x
    x = 15,513,698,916/80,120
  6. Step 6: Final answer
    x = 193,630.79

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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.