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Finding the Third Proportional to 26,519 and 57,102

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Solution

The third proportional to 26,519 and 57,102 is: 122,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,519 : 57,102 = 57,102 : x
  2. Step 2: Convert to fraction form
    26,519/57,102 = 57,102/x
  3. Step 3: Cross multiply
    26,519x = 57,102 × 57,102
  4. Step 4: Simplify right side
    26,519x = 3,260,638,404
  5. Step 5: Solve for x
    x = 3,260,638,404/26,519
  6. Step 6: Final answer
    x = 122,954.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.