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Finding the Third Proportional to 71,270 and 150,548

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Solution

The third proportional to 71,270 and 150,548 is: 318,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270 : 150,548 = 150,548 : x
  2. Step 2: Convert to fraction form
    71,270/150,548 = 150,548/x
  3. Step 3: Cross multiply
    71,270x = 150,548 × 150,548
  4. Step 4: Simplify right side
    71,270x = 22,664,700,304
  5. Step 5: Solve for x
    x = 22,664,700,304/71,270
  6. Step 6: Final answer
    x = 318,011.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.