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Finding the Third Proportional to 68,987 and 151,521

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Solution

The third proportional to 68,987 and 151,521 is: 332,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,987 : 151,521 = 151,521 : x
  2. Step 2: Convert to fraction form
    68,987/151,521 = 151,521/x
  3. Step 3: Cross multiply
    68,987x = 151,521 × 151,521
  4. Step 4: Simplify right side
    68,987x = 22,958,613,441
  5. Step 5: Solve for x
    x = 22,958,613,441/68,987
  6. Step 6: Final answer
    x = 332,796.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.