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Finding the Third Proportional to 124,231 and 193,727

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Solution

The third proportional to 124,231 and 193,727 is: 302,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,231 : 193,727 = 193,727 : x
  2. Step 2: Convert to fraction form
    124,231/193,727 = 193,727/x
  3. Step 3: Cross multiply
    124,231x = 193,727 × 193,727
  4. Step 4: Simplify right side
    124,231x = 37,530,150,529
  5. Step 5: Solve for x
    x = 37,530,150,529/124,231
  6. Step 6: Final answer
    x = 302,099.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.