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Finding the Third Proportional to 26,182 and 57,252

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Solution

The third proportional to 26,182 and 57,252 is: 125,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182 : 57,252 = 57,252 : x
  2. Step 2: Convert to fraction form
    26,182/57,252 = 57,252/x
  3. Step 3: Cross multiply
    26,182x = 57,252 × 57,252
  4. Step 4: Simplify right side
    26,182x = 3,277,791,504
  5. Step 5: Solve for x
    x = 3,277,791,504/26,182
  6. Step 6: Final answer
    x = 125,192.56

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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.