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Finding the Third Proportional to 39,172 and 82,376

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Solution

The third proportional to 39,172 and 82,376 is: 173,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,172 : 82,376 = 82,376 : x
  2. Step 2: Convert to fraction form
    39,172/82,376 = 82,376/x
  3. Step 3: Cross multiply
    39,172x = 82,376 × 82,376
  4. Step 4: Simplify right side
    39,172x = 6,785,805,376
  5. Step 5: Solve for x
    x = 6,785,805,376/39,172
  6. Step 6: Final answer
    x = 173,231.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.