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Finding the Third Proportional to 80,020 and 133,374

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Solution

The third proportional to 80,020 and 133,374 is: 222,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,020 : 133,374 = 133,374 : x
  2. Step 2: Convert to fraction form
    80,020/133,374 = 133,374/x
  3. Step 3: Cross multiply
    80,020x = 133,374 × 133,374
  4. Step 4: Simplify right side
    80,020x = 17,788,623,876
  5. Step 5: Solve for x
    x = 17,788,623,876/80,020
  6. Step 6: Final answer
    x = 222,302.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.