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Finding the Third Proportional to 57,291 and 125,426

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Solution

The third proportional to 57,291 and 125,426 is: 274,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,291 : 125,426 = 125,426 : x
  2. Step 2: Convert to fraction form
    57,291/125,426 = 125,426/x
  3. Step 3: Cross multiply
    57,291x = 125,426 × 125,426
  4. Step 4: Simplify right side
    57,291x = 15,731,681,476
  5. Step 5: Solve for x
    x = 15,731,681,476/57,291
  6. Step 6: Final answer
    x = 274,592.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.