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Finding the Third Proportional to 26,102 and 57,388

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Solution

The third proportional to 26,102 and 57,388 is: 126,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102 : 57,388 = 57,388 : x
  2. Step 2: Convert to fraction form
    26,102/57,388 = 57,388/x
  3. Step 3: Cross multiply
    26,102x = 57,388 × 57,388
  4. Step 4: Simplify right side
    26,102x = 3,293,382,544
  5. Step 5: Solve for x
    x = 3,293,382,544/26,102
  6. Step 6: Final answer
    x = 126,173.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.