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Finding the Third Proportional to 80,782 and 124,000

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Solution

The third proportional to 80,782 and 124,000 is: 190,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,782 : 124,000 = 124,000 : x
  2. Step 2: Convert to fraction form
    80,782/124,000 = 124,000/x
  3. Step 3: Cross multiply
    80,782x = 124,000 × 124,000
  4. Step 4: Simplify right side
    80,782x = 15,376,000,000
  5. Step 5: Solve for x
    x = 15,376,000,000/80,782
  6. Step 6: Final answer
    x = 190,339.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.