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Finding the Third Proportional to 26,516 and 58,134

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Solution

The third proportional to 26,516 and 58,134 is: 127,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516 : 58,134 = 58,134 : x
  2. Step 2: Convert to fraction form
    26,516/58,134 = 58,134/x
  3. Step 3: Cross multiply
    26,516x = 58,134 × 58,134
  4. Step 4: Simplify right side
    26,516x = 3,379,561,956
  5. Step 5: Solve for x
    x = 3,379,561,956/26,516
  6. Step 6: Final answer
    x = 127,453.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.