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Finding the Third Proportional to 37,743 and 77,125

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Solution

The third proportional to 37,743 and 77,125 is: 157,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743 : 77,125 = 77,125 : x
  2. Step 2: Convert to fraction form
    37,743/77,125 = 77,125/x
  3. Step 3: Cross multiply
    37,743x = 77,125 × 77,125
  4. Step 4: Simplify right side
    37,743x = 5,948,265,625
  5. Step 5: Solve for x
    x = 5,948,265,625/37,743
  6. Step 6: Final answer
    x = 157,599.17

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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.