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Finding the Third Proportional to 125,102 and 193,990

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Solution

The third proportional to 125,102 and 193,990 is: 300,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102 : 193,990 = 193,990 : x
  2. Step 2: Convert to fraction form
    125,102/193,990 = 193,990/x
  3. Step 3: Cross multiply
    125,102x = 193,990 × 193,990
  4. Step 4: Simplify right side
    125,102x = 37,632,120,100
  5. Step 5: Solve for x
    x = 37,632,120,100/125,102
  6. Step 6: Final answer
    x = 300,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.