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Finding the Third Proportional to 83,072 and 179,424

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Solution

The third proportional to 83,072 and 179,424 is: 387,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072 : 179,424 = 179,424 : x
  2. Step 2: Convert to fraction form
    83,072/179,424 = 179,424/x
  3. Step 3: Cross multiply
    83,072x = 179,424 × 179,424
  4. Step 4: Simplify right side
    83,072x = 32,192,971,776
  5. Step 5: Solve for x
    x = 32,192,971,776/83,072
  6. Step 6: Final answer
    x = 387,530.96

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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.