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Finding the Third Proportional to 80,126 and 124,559

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Solution

The third proportional to 80,126 and 124,559 is: 193,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,126 : 124,559 = 124,559 : x
  2. Step 2: Convert to fraction form
    80,126/124,559 = 124,559/x
  3. Step 3: Cross multiply
    80,126x = 124,559 × 124,559
  4. Step 4: Simplify right side
    80,126x = 15,514,944,481
  5. Step 5: Solve for x
    x = 15,514,944,481/80,126
  6. Step 6: Final answer
    x = 193,631.84

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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.