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Finding the Third Proportional to 80,280 and 125,017

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Solution

The third proportional to 80,280 and 125,017 is: 194,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280 : 125,017 = 125,017 : x
  2. Step 2: Convert to fraction form
    80,280/125,017 = 125,017/x
  3. Step 3: Cross multiply
    80,280x = 125,017 × 125,017
  4. Step 4: Simplify right side
    80,280x = 15,629,250,289
  5. Step 5: Solve for x
    x = 15,629,250,289/80,280
  6. Step 6: Final answer
    x = 194,684.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.