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Finding the Third Proportional to 126,090 and 271,314

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Solution

The third proportional to 126,090 and 271,314 is: 583,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,090 : 271,314 = 271,314 : x
  2. Step 2: Convert to fraction form
    126,090/271,314 = 271,314/x
  3. Step 3: Cross multiply
    126,090x = 271,314 × 271,314
  4. Step 4: Simplify right side
    126,090x = 73,611,286,596
  5. Step 5: Solve for x
    x = 73,611,286,596/126,090
  6. Step 6: Final answer
    x = 583,799.56

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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.