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Finding the Third Proportional to 26,112 and 55,329

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Solution

The third proportional to 26,112 and 55,329 is: 117,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,112 : 55,329 = 55,329 : x
  2. Step 2: Convert to fraction form
    26,112/55,329 = 55,329/x
  3. Step 3: Cross multiply
    26,112x = 55,329 × 55,329
  4. Step 4: Simplify right side
    26,112x = 3,061,298,241
  5. Step 5: Solve for x
    x = 3,061,298,241/26,112
  6. Step 6: Final answer
    x = 117,237.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.