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Finding the Third Proportional to 124,966 and 193,555

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Solution

The third proportional to 124,966 and 193,555 is: 299,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,966 : 193,555 = 193,555 : x
  2. Step 2: Convert to fraction form
    124,966/193,555 = 193,555/x
  3. Step 3: Cross multiply
    124,966x = 193,555 × 193,555
  4. Step 4: Simplify right side
    124,966x = 37,463,538,025
  5. Step 5: Solve for x
    x = 37,463,538,025/124,966
  6. Step 6: Final answer
    x = 299,789.85

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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.