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Finding the Third Proportional to 56,625 and 125,319

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Solution

The third proportional to 56,625 and 125,319 is: 277,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,625 : 125,319 = 125,319 : x
  2. Step 2: Convert to fraction form
    56,625/125,319 = 125,319/x
  3. Step 3: Cross multiply
    56,625x = 125,319 × 125,319
  4. Step 4: Simplify right side
    56,625x = 15,704,851,761
  5. Step 5: Solve for x
    x = 15,704,851,761/56,625
  6. Step 6: Final answer
    x = 277,348.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.