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Finding the Third Proportional to 83,434 and 127,215

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Solution

The third proportional to 83,434 and 127,215 is: 193,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434 : 127,215 = 127,215 : x
  2. Step 2: Convert to fraction form
    83,434/127,215 = 127,215/x
  3. Step 3: Cross multiply
    83,434x = 127,215 × 127,215
  4. Step 4: Simplify right side
    83,434x = 16,183,656,225
  5. Step 5: Solve for x
    x = 16,183,656,225/83,434
  6. Step 6: Final answer
    x = 193,969.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.