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Finding the Third Proportional to 26,282 and 60,781

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Solution

The third proportional to 26,282 and 60,781 is: 140,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,282 : 60,781 = 60,781 : x
  2. Step 2: Convert to fraction form
    26,282/60,781 = 60,781/x
  3. Step 3: Cross multiply
    26,282x = 60,781 × 60,781
  4. Step 4: Simplify right side
    26,282x = 3,694,329,961
  5. Step 5: Solve for x
    x = 3,694,329,961/26,282
  6. Step 6: Final answer
    x = 140,565.02

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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.