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Finding the Third Proportional to 44,041 and 77,741

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Solution

The third proportional to 44,041 and 77,741 is: 137,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,041 : 77,741 = 77,741 : x
  2. Step 2: Convert to fraction form
    44,041/77,741 = 77,741/x
  3. Step 3: Cross multiply
    44,041x = 77,741 × 77,741
  4. Step 4: Simplify right side
    44,041x = 6,043,663,081
  5. Step 5: Solve for x
    x = 6,043,663,081/44,041
  6. Step 6: Final answer
    x = 137,228.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.