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Finding the Third Proportional to 80,656 and 125,184

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Solution

The third proportional to 80,656 and 125,184 is: 194,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,656 : 125,184 = 125,184 : x
  2. Step 2: Convert to fraction form
    80,656/125,184 = 125,184/x
  3. Step 3: Cross multiply
    80,656x = 125,184 × 125,184
  4. Step 4: Simplify right side
    80,656x = 15,671,033,856
  5. Step 5: Solve for x
    x = 15,671,033,856/80,656
  6. Step 6: Final answer
    x = 194,294.71

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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.