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Finding the Third Proportional to 80,150 and 124,762

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Solution

The third proportional to 80,150 and 124,762 is: 194,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,150 : 124,762 = 124,762 : x
  2. Step 2: Convert to fraction form
    80,150/124,762 = 124,762/x
  3. Step 3: Cross multiply
    80,150x = 124,762 × 124,762
  4. Step 4: Simplify right side
    80,150x = 15,565,556,644
  5. Step 5: Solve for x
    x = 15,565,556,644/80,150
  6. Step 6: Final answer
    x = 194,205.32

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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.