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Finding the Third Proportional to 126,425 and 271,594

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Solution

The third proportional to 126,425 and 271,594 is: 583,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,425 : 271,594 = 271,594 : x
  2. Step 2: Convert to fraction form
    126,425/271,594 = 271,594/x
  3. Step 3: Cross multiply
    126,425x = 271,594 × 271,594
  4. Step 4: Simplify right side
    126,425x = 73,763,300,836
  5. Step 5: Solve for x
    x = 73,763,300,836/126,425
  6. Step 6: Final answer
    x = 583,455.02

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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.