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Finding the Third Proportional to 26,246 and 60,269

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Solution

The third proportional to 26,246 and 60,269 is: 138,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,246 : 60,269 = 60,269 : x
  2. Step 2: Convert to fraction form
    26,246/60,269 = 60,269/x
  3. Step 3: Cross multiply
    26,246x = 60,269 × 60,269
  4. Step 4: Simplify right side
    26,246x = 3,632,352,361
  5. Step 5: Solve for x
    x = 3,632,352,361/26,246
  6. Step 6: Final answer
    x = 138,396.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.