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Finding the Third Proportional to 124,287 and 194,427

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Solution

The third proportional to 124,287 and 194,427 is: 304,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,287 : 194,427 = 194,427 : x
  2. Step 2: Convert to fraction form
    124,287/194,427 = 194,427/x
  3. Step 3: Cross multiply
    124,287x = 194,427 × 194,427
  4. Step 4: Simplify right side
    124,287x = 37,801,858,329
  5. Step 5: Solve for x
    x = 37,801,858,329/124,287
  6. Step 6: Final answer
    x = 304,149.74

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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.