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Finding the Third Proportional to 37,434 and 81,902

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Solution

The third proportional to 37,434 and 81,902 is: 179,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,434 : 81,902 = 81,902 : x
  2. Step 2: Convert to fraction form
    37,434/81,902 = 81,902/x
  3. Step 3: Cross multiply
    37,434x = 81,902 × 81,902
  4. Step 4: Simplify right side
    37,434x = 6,707,937,604
  5. Step 5: Solve for x
    x = 6,707,937,604/37,434
  6. Step 6: Final answer
    x = 179,193.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.