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Finding the Third Proportional to 126,113 and 271,358

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Solution

The third proportional to 126,113 and 271,358 is: 583,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,113 : 271,358 = 271,358 : x
  2. Step 2: Convert to fraction form
    126,113/271,358 = 271,358/x
  3. Step 3: Cross multiply
    126,113x = 271,358 × 271,358
  4. Step 4: Simplify right side
    126,113x = 73,635,164,164
  5. Step 5: Solve for x
    x = 73,635,164,164/126,113
  6. Step 6: Final answer
    x = 583,882.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.