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Finding the Third Proportional to 126,056 and 271,230

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Solution

The third proportional to 126,056 and 271,230 is: 583,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,056 : 271,230 = 271,230 : x
  2. Step 2: Convert to fraction form
    126,056/271,230 = 271,230/x
  3. Step 3: Cross multiply
    126,056x = 271,230 × 271,230
  4. Step 4: Simplify right side
    126,056x = 73,565,712,900
  5. Step 5: Solve for x
    x = 73,565,712,900/126,056
  6. Step 6: Final answer
    x = 583,595.49

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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.