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Finding the Third Proportional to 83,548 and 178,744

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Solution

The third proportional to 83,548 and 178,744 is: 382,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548 : 178,744 = 178,744 : x
  2. Step 2: Convert to fraction form
    83,548/178,744 = 178,744/x
  3. Step 3: Cross multiply
    83,548x = 178,744 × 178,744
  4. Step 4: Simplify right side
    83,548x = 31,949,417,536
  5. Step 5: Solve for x
    x = 31,949,417,536/83,548
  6. Step 6: Final answer
    x = 382,407.93

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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.