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Finding the Third Proportional to 82,086 and 176,727

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Solution

The third proportional to 82,086 and 176,727 is: 380,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,086 : 176,727 = 176,727 : x
  2. Step 2: Convert to fraction form
    82,086/176,727 = 176,727/x
  3. Step 3: Cross multiply
    82,086x = 176,727 × 176,727
  4. Step 4: Simplify right side
    82,086x = 31,232,432,529
  5. Step 5: Solve for x
    x = 31,232,432,529/82,086
  6. Step 6: Final answer
    x = 380,484.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.