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Finding the Third Proportional to 26,252 and 57,112

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Solution

The third proportional to 26,252 and 57,112 is: 124,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,252 : 57,112 = 57,112 : x
  2. Step 2: Convert to fraction form
    26,252/57,112 = 57,112/x
  3. Step 3: Cross multiply
    26,252x = 57,112 × 57,112
  4. Step 4: Simplify right side
    26,252x = 3,261,780,544
  5. Step 5: Solve for x
    x = 3,261,780,544/26,252
  6. Step 6: Final answer
    x = 124,248.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.