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Finding the Third Proportional to 26,742 and 58,102

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Solution

The third proportional to 26,742 and 58,102 is: 126,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 58,102 = 58,102 : x
  2. Step 2: Convert to fraction form
    26,742/58,102 = 58,102/x
  3. Step 3: Cross multiply
    26,742x = 58,102 × 58,102
  4. Step 4: Simplify right side
    26,742x = 3,375,842,404
  5. Step 5: Solve for x
    x = 3,375,842,404/26,742
  6. Step 6: Final answer
    x = 126,237.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.