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Finding the Third Proportional to 26,268 and 60,748

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Solution

The third proportional to 26,268 and 60,748 is: 140,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,268 : 60,748 = 60,748 : x
  2. Step 2: Convert to fraction form
    26,268/60,748 = 60,748/x
  3. Step 3: Cross multiply
    26,268x = 60,748 × 60,748
  4. Step 4: Simplify right side
    26,268x = 3,690,319,504
  5. Step 5: Solve for x
    x = 3,690,319,504/26,268
  6. Step 6: Final answer
    x = 140,487.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.