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Finding the Third Proportional to 83,604 and 178,872

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Solution

The third proportional to 83,604 and 178,872 is: 382,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,604 : 178,872 = 178,872 : x
  2. Step 2: Convert to fraction form
    83,604/178,872 = 178,872/x
  3. Step 3: Cross multiply
    83,604x = 178,872 × 178,872
  4. Step 4: Simplify right side
    83,604x = 31,995,192,384
  5. Step 5: Solve for x
    x = 31,995,192,384/83,604
  6. Step 6: Final answer
    x = 382,699.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.