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Finding the Third Proportional to 69,668 and 148,327

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Solution

The third proportional to 69,668 and 148,327 is: 315,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668 : 148,327 = 148,327 : x
  2. Step 2: Convert to fraction form
    69,668/148,327 = 148,327/x
  3. Step 3: Cross multiply
    69,668x = 148,327 × 148,327
  4. Step 4: Simplify right side
    69,668x = 22,000,898,929
  5. Step 5: Solve for x
    x = 22,000,898,929/69,668
  6. Step 6: Final answer
    x = 315,796.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.