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Finding the Third Proportional to 80,328 and 124,940

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Solution

The third proportional to 80,328 and 124,940 is: 194,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,328 : 124,940 = 124,940 : x
  2. Step 2: Convert to fraction form
    80,328/124,940 = 124,940/x
  3. Step 3: Cross multiply
    80,328x = 124,940 × 124,940
  4. Step 4: Simplify right side
    80,328x = 15,610,003,600
  5. Step 5: Solve for x
    x = 15,610,003,600/80,328
  6. Step 6: Final answer
    x = 194,328.30

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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.