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Finding the Third Proportional to 125,859 and 182,845

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Solution

The third proportional to 125,859 and 182,845 is: 265,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,859 : 182,845 = 182,845 : x
  2. Step 2: Convert to fraction form
    125,859/182,845 = 182,845/x
  3. Step 3: Cross multiply
    125,859x = 182,845 × 182,845
  4. Step 4: Simplify right side
    125,859x = 33,432,294,025
  5. Step 5: Solve for x
    x = 33,432,294,025/125,859
  6. Step 6: Final answer
    x = 265,632.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.