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Finding the Third Proportional to 86,671.27 and 137,524.71

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Solution

The third proportional to 86,671.27 and 137,524.71 is: 218,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,671.27 : 137,524.71 = 137,524.71 : x
  2. Step 2: Convert to fraction form
    86,671.27/137,524.71 = 137,524.71/x
  3. Step 3: Cross multiply
    86,671.27x = 137,524.71 × 137,524.71
  4. Step 4: Simplify right side
    86,671.27x = 18,913,046,118.44
  5. Step 5: Solve for x
    x = 18,913,046,118.44/86,671.27
  6. Step 6: Final answer
    x = 218,215.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.