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Finding the Third Proportional to 37,494 and 81,102

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Solution

The third proportional to 37,494 and 81,102 is: 175,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,494 : 81,102 = 81,102 : x
  2. Step 2: Convert to fraction form
    37,494/81,102 = 81,102/x
  3. Step 3: Cross multiply
    37,494x = 81,102 × 81,102
  4. Step 4: Simplify right side
    37,494x = 6,577,534,404
  5. Step 5: Solve for x
    x = 6,577,534,404/37,494
  6. Step 6: Final answer
    x = 175,428.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.