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Finding the Third Proportional to 80,250 and 124,197

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Solution

The third proportional to 80,250 and 124,197 is: 192,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,250 : 124,197 = 124,197 : x
  2. Step 2: Convert to fraction form
    80,250/124,197 = 124,197/x
  3. Step 3: Cross multiply
    80,250x = 124,197 × 124,197
  4. Step 4: Simplify right side
    80,250x = 15,424,894,809
  5. Step 5: Solve for x
    x = 15,424,894,809/80,250
  6. Step 6: Final answer
    x = 192,210.53

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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.