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Finding the Third Proportional to 82,111 and 176,882

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Solution

The third proportional to 82,111 and 176,882 is: 381,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111 : 176,882 = 176,882 : x
  2. Step 2: Convert to fraction form
    82,111/176,882 = 176,882/x
  3. Step 3: Cross multiply
    82,111x = 176,882 × 176,882
  4. Step 4: Simplify right side
    82,111x = 31,287,241,924
  5. Step 5: Solve for x
    x = 31,287,241,924/82,111
  6. Step 6: Final answer
    x = 381,035.94

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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.