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Finding the Third Proportional to 138,675 and 182,112

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Solution

The third proportional to 138,675 and 182,112 is: 239,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,675 : 182,112 = 182,112 : x
  2. Step 2: Convert to fraction form
    138,675/182,112 = 182,112/x
  3. Step 3: Cross multiply
    138,675x = 182,112 × 182,112
  4. Step 4: Simplify right side
    138,675x = 33,164,780,544
  5. Step 5: Solve for x
    x = 33,164,780,544/138,675
  6. Step 6: Final answer
    x = 239,154.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.