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Finding the Third Proportional to 41,049 and 60,111

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Solution

The third proportional to 41,049 and 60,111 is: 88,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,049 : 60,111 = 60,111 : x
  2. Step 2: Convert to fraction form
    41,049/60,111 = 60,111/x
  3. Step 3: Cross multiply
    41,049x = 60,111 × 60,111
  4. Step 4: Simplify right side
    41,049x = 3,613,332,321
  5. Step 5: Solve for x
    x = 3,613,332,321/41,049
  6. Step 6: Final answer
    x = 88,024.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.