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Finding the Third Proportional to 104,900.25 and 158,221.25

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Solution

The third proportional to 104,900.25 and 158,221.25 is: 238,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,900.25 : 158,221.25 = 158,221.25 : x
  2. Step 2: Convert to fraction form
    104,900.25/158,221.25 = 158,221.25/x
  3. Step 3: Cross multiply
    104,900.25x = 158,221.25 × 158,221.25
  4. Step 4: Simplify right side
    104,900.25x = 25,033,963,951.56
  5. Step 5: Solve for x
    x = 25,033,963,951.56/104,900.25
  6. Step 6: Final answer
    x = 238,645.42

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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.