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Finding the Third Proportional to 37,741 and 77,121

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Solution

The third proportional to 37,741 and 77,121 is: 157,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741 : 77,121 = 77,121 : x
  2. Step 2: Convert to fraction form
    37,741/77,121 = 77,121/x
  3. Step 3: Cross multiply
    37,741x = 77,121 × 77,121
  4. Step 4: Simplify right side
    37,741x = 5,947,648,641
  5. Step 5: Solve for x
    x = 5,947,648,641/37,741
  6. Step 6: Final answer
    x = 157,591.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.