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Finding the Third Proportional to 125,104.50 and 158,496.75

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Solution

The third proportional to 125,104.50 and 158,496.75 is: 200,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,104.50 : 158,496.75 = 158,496.75 : x
  2. Step 2: Convert to fraction form
    125,104.50/158,496.75 = 158,496.75/x
  3. Step 3: Cross multiply
    125,104.50x = 158,496.75 × 158,496.75
  4. Step 4: Simplify right side
    125,104.50x = 25,121,219,760.56
  5. Step 5: Solve for x
    x = 25,121,219,760.56/125,104.50
  6. Step 6: Final answer
    x = 200,801.89

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.