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Finding the Third Proportional to 51,157 and 109,419

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Solution

The third proportional to 51,157 and 109,419 is: 234,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,157 : 109,419 = 109,419 : x
  2. Step 2: Convert to fraction form
    51,157/109,419 = 109,419/x
  3. Step 3: Cross multiply
    51,157x = 109,419 × 109,419
  4. Step 4: Simplify right side
    51,157x = 11,972,517,561
  5. Step 5: Solve for x
    x = 11,972,517,561/51,157
  6. Step 6: Final answer
    x = 234,034.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.