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Finding the Third Proportional to 26,143 and 62,116

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Solution

The third proportional to 26,143 and 62,116 is: 147,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143 : 62,116 = 62,116 : x
  2. Step 2: Convert to fraction form
    26,143/62,116 = 62,116/x
  3. Step 3: Cross multiply
    26,143x = 62,116 × 62,116
  4. Step 4: Simplify right side
    26,143x = 3,858,397,456
  5. Step 5: Solve for x
    x = 3,858,397,456/26,143
  6. Step 6: Final answer
    x = 147,588.17

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.