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Finding the Third Proportional to 69,687 and 150,552

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Solution

The third proportional to 69,687 and 150,552 is: 325,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,687 : 150,552 = 150,552 : x
  2. Step 2: Convert to fraction form
    69,687/150,552 = 150,552/x
  3. Step 3: Cross multiply
    69,687x = 150,552 × 150,552
  4. Step 4: Simplify right side
    69,687x = 22,665,904,704
  5. Step 5: Solve for x
    x = 22,665,904,704/69,687
  6. Step 6: Final answer
    x = 325,252.98

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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.