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Finding the Third Proportional to 82,032 and 176,874

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Solution

The third proportional to 82,032 and 176,874 is: 381,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032 : 176,874 = 176,874 : x
  2. Step 2: Convert to fraction form
    82,032/176,874 = 176,874/x
  3. Step 3: Cross multiply
    82,032x = 176,874 × 176,874
  4. Step 4: Simplify right side
    82,032x = 31,284,411,876
  5. Step 5: Solve for x
    x = 31,284,411,876/82,032
  6. Step 6: Final answer
    x = 381,368.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.