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Finding the Third Proportional to 82,239 and 176,949

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Solution

The third proportional to 82,239 and 176,949 is: 380,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,239 : 176,949 = 176,949 : x
  2. Step 2: Convert to fraction form
    82,239/176,949 = 176,949/x
  3. Step 3: Cross multiply
    82,239x = 176,949 × 176,949
  4. Step 4: Simplify right side
    82,239x = 31,310,948,601
  5. Step 5: Solve for x
    x = 31,310,948,601/82,239
  6. Step 6: Final answer
    x = 380,731.14

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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.