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Finding the Third Proportional to 26,564 and 58,114

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Solution

The third proportional to 26,564 and 58,114 is: 127,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564 : 58,114 = 58,114 : x
  2. Step 2: Convert to fraction form
    26,564/58,114 = 58,114/x
  3. Step 3: Cross multiply
    26,564x = 58,114 × 58,114
  4. Step 4: Simplify right side
    26,564x = 3,377,236,996
  5. Step 5: Solve for x
    x = 3,377,236,996/26,564
  6. Step 6: Final answer
    x = 127,135.86

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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.