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Finding the Third Proportional to 125,844 and 256,102

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Solution

The third proportional to 125,844 and 256,102 is: 521,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,844 : 256,102 = 256,102 : x
  2. Step 2: Convert to fraction form
    125,844/256,102 = 256,102/x
  3. Step 3: Cross multiply
    125,844x = 256,102 × 256,102
  4. Step 4: Simplify right side
    125,844x = 65,588,234,404
  5. Step 5: Solve for x
    x = 65,588,234,404/125,844
  6. Step 6: Final answer
    x = 521,186.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.