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Finding the Third Proportional to 126,423 and 271,590

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Solution

The third proportional to 126,423 and 271,590 is: 583,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,423 : 271,590 = 271,590 : x
  2. Step 2: Convert to fraction form
    126,423/271,590 = 271,590/x
  3. Step 3: Cross multiply
    126,423x = 271,590 × 271,590
  4. Step 4: Simplify right side
    126,423x = 73,761,128,100
  5. Step 5: Solve for x
    x = 73,761,128,100/126,423
  6. Step 6: Final answer
    x = 583,447.06

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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.