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Finding the Third Proportional to 80,868 and 124,650

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Solution

The third proportional to 80,868 and 124,650 is: 192,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,868 : 124,650 = 124,650 : x
  2. Step 2: Convert to fraction form
    80,868/124,650 = 124,650/x
  3. Step 3: Cross multiply
    80,868x = 124,650 × 124,650
  4. Step 4: Simplify right side
    80,868x = 15,537,622,500
  5. Step 5: Solve for x
    x = 15,537,622,500/80,868
  6. Step 6: Final answer
    x = 192,135.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.