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Finding the Third Proportional to 71,661 and 153,366

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Solution

The third proportional to 71,661 and 153,366 is: 328,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661 : 153,366 = 153,366 : x
  2. Step 2: Convert to fraction form
    71,661/153,366 = 153,366/x
  3. Step 3: Cross multiply
    71,661x = 153,366 × 153,366
  4. Step 4: Simplify right side
    71,661x = 23,521,129,956
  5. Step 5: Solve for x
    x = 23,521,129,956/71,661
  6. Step 6: Final answer
    x = 328,227.77

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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.