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Finding the Third Proportional to 109,514 and 121,034

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Solution

The third proportional to 109,514 and 121,034 is: 133,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,514 : 121,034 = 121,034 : x
  2. Step 2: Convert to fraction form
    109,514/121,034 = 121,034/x
  3. Step 3: Cross multiply
    109,514x = 121,034 × 121,034
  4. Step 4: Simplify right side
    109,514x = 14,649,229,156
  5. Step 5: Solve for x
    x = 14,649,229,156/109,514
  6. Step 6: Final answer
    x = 133,765.81

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.