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Finding the Third Proportional to 26,264 and 60,739

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Solution

The third proportional to 26,264 and 60,739 is: 140,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,264 : 60,739 = 60,739 : x
  2. Step 2: Convert to fraction form
    26,264/60,739 = 60,739/x
  3. Step 3: Cross multiply
    26,264x = 60,739 × 60,739
  4. Step 4: Simplify right side
    26,264x = 3,689,226,121
  5. Step 5: Solve for x
    x = 3,689,226,121/26,264
  6. Step 6: Final answer
    x = 140,467.03

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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.