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Finding the Third Proportional to 82,158.75 and 132,274.13

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Solution

The third proportional to 82,158.75 and 132,274.13 is: 212,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.75 : 132,274.13 = 132,274.13 : x
  2. Step 2: Convert to fraction form
    82,158.75/132,274.13 = 132,274.13/x
  3. Step 3: Cross multiply
    82,158.75x = 132,274.13 × 132,274.13
  4. Step 4: Simplify right side
    82,158.75x = 17,496,444,144.52
  5. Step 5: Solve for x
    x = 17,496,444,144.52/82,158.75
  6. Step 6: Final answer
    x = 212,958.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.