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Finding the Third Proportional to 104,899 and 158,219

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Solution

The third proportional to 104,899 and 158,219 is: 238,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,899 : 158,219 = 158,219 : x
  2. Step 2: Convert to fraction form
    104,899/158,219 = 158,219/x
  3. Step 3: Cross multiply
    104,899x = 158,219 × 158,219
  4. Step 4: Simplify right side
    104,899x = 25,033,251,961
  5. Step 5: Solve for x
    x = 25,033,251,961/104,899
  6. Step 6: Final answer
    x = 238,641.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.