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Finding the Third Proportional to 26,454 and 55,092

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Solution

The third proportional to 26,454 and 55,092 is: 114,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,454 : 55,092 = 55,092 : x
  2. Step 2: Convert to fraction form
    26,454/55,092 = 55,092/x
  3. Step 3: Cross multiply
    26,454x = 55,092 × 55,092
  4. Step 4: Simplify right side
    26,454x = 3,035,128,464
  5. Step 5: Solve for x
    x = 3,035,128,464/26,454
  6. Step 6: Final answer
    x = 114,732.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.