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Finding the Third Proportional to 80,514 and 109,334.81

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Solution

The third proportional to 80,514 and 109,334.81 is: 148,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514 : 109,334.81 = 109,334.81 : x
  2. Step 2: Convert to fraction form
    80,514/109,334.81 = 109,334.81/x
  3. Step 3: Cross multiply
    80,514x = 109,334.81 × 109,334.81
  4. Step 4: Simplify right side
    80,514x = 11,954,101,224.41
  5. Step 5: Solve for x
    x = 11,954,101,224.41/80,514
  6. Step 6: Final answer
    x = 148,472.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.