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Finding the Third Proportional to 125,334 and 256,782

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Solution

The third proportional to 125,334 and 256,782 is: 526,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,334 : 256,782 = 256,782 : x
  2. Step 2: Convert to fraction form
    125,334/256,782 = 256,782/x
  3. Step 3: Cross multiply
    125,334x = 256,782 × 256,782
  4. Step 4: Simplify right side
    125,334x = 65,936,995,524
  5. Step 5: Solve for x
    x = 65,936,995,524/125,334
  6. Step 6: Final answer
    x = 526,090.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.