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Finding the Third Proportional to 104,222 and 158,439

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Solution

The third proportional to 104,222 and 158,439 is: 240,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,222 : 158,439 = 158,439 : x
  2. Step 2: Convert to fraction form
    104,222/158,439 = 158,439/x
  3. Step 3: Cross multiply
    104,222x = 158,439 × 158,439
  4. Step 4: Simplify right side
    104,222x = 25,102,916,721
  5. Step 5: Solve for x
    x = 25,102,916,721/104,222
  6. Step 6: Final answer
    x = 240,860.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.