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Finding the Third Proportional to 80,456 and 124,460

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Solution

The third proportional to 80,456 and 124,460 is: 192,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,456 : 124,460 = 124,460 : x
  2. Step 2: Convert to fraction form
    80,456/124,460 = 124,460/x
  3. Step 3: Cross multiply
    80,456x = 124,460 × 124,460
  4. Step 4: Simplify right side
    80,456x = 15,490,291,600
  5. Step 5: Solve for x
    x = 15,490,291,600/80,456
  6. Step 6: Final answer
    x = 192,531.22

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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.