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Finding the Third Proportional to 26,540 and 58,186

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Solution

The third proportional to 26,540 and 58,186 is: 127,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540 : 58,186 = 58,186 : x
  2. Step 2: Convert to fraction form
    26,540/58,186 = 58,186/x
  3. Step 3: Cross multiply
    26,540x = 58,186 × 58,186
  4. Step 4: Simplify right side
    26,540x = 3,385,610,596
  5. Step 5: Solve for x
    x = 3,385,610,596/26,540
  6. Step 6: Final answer
    x = 127,566.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.