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Finding the Third Proportional to 38,740 and 82,132

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Solution

The third proportional to 38,740 and 82,132 is: 174,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,740 : 82,132 = 82,132 : x
  2. Step 2: Convert to fraction form
    38,740/82,132 = 82,132/x
  3. Step 3: Cross multiply
    38,740x = 82,132 × 82,132
  4. Step 4: Simplify right side
    38,740x = 6,745,665,424
  5. Step 5: Solve for x
    x = 6,745,665,424/38,740
  6. Step 6: Final answer
    x = 174,126.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.