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Finding the Third Proportional to 37,112 and 79,496

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Solution

The third proportional to 37,112 and 79,496 is: 170,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,112 : 79,496 = 79,496 : x
  2. Step 2: Convert to fraction form
    37,112/79,496 = 79,496/x
  3. Step 3: Cross multiply
    37,112x = 79,496 × 79,496
  4. Step 4: Simplify right side
    37,112x = 6,319,614,016
  5. Step 5: Solve for x
    x = 6,319,614,016/37,112
  6. Step 6: Final answer
    x = 170,284.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.