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Finding the Third Proportional to 124,035 and 197,126

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Solution

The third proportional to 124,035 and 197,126 is: 313,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,035 : 197,126 = 197,126 : x
  2. Step 2: Convert to fraction form
    124,035/197,126 = 197,126/x
  3. Step 3: Cross multiply
    124,035x = 197,126 × 197,126
  4. Step 4: Simplify right side
    124,035x = 38,858,659,876
  5. Step 5: Solve for x
    x = 38,858,659,876/124,035
  6. Step 6: Final answer
    x = 313,287.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.