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Finding the Third Proportional to 100,961 and 158,387

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Solution

The third proportional to 100,961 and 158,387 is: 248,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961 : 158,387 = 158,387 : x
  2. Step 2: Convert to fraction form
    100,961/158,387 = 158,387/x
  3. Step 3: Cross multiply
    100,961x = 158,387 × 158,387
  4. Step 4: Simplify right side
    100,961x = 25,086,441,769
  5. Step 5: Solve for x
    x = 25,086,441,769/100,961
  6. Step 6: Final answer
    x = 248,476.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.