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Finding the Third Proportional to 80,114 and 124,707

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Solution

The third proportional to 80,114 and 124,707 is: 194,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114 : 124,707 = 124,707 : x
  2. Step 2: Convert to fraction form
    80,114/124,707 = 124,707/x
  3. Step 3: Cross multiply
    80,114x = 124,707 × 124,707
  4. Step 4: Simplify right side
    80,114x = 15,551,835,849
  5. Step 5: Solve for x
    x = 15,551,835,849/80,114
  6. Step 6: Final answer
    x = 194,121.33

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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.