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Finding the Third Proportional to 25,944 and 55,129

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Solution

The third proportional to 25,944 and 55,129 is: 117,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,944 : 55,129 = 55,129 : x
  2. Step 2: Convert to fraction form
    25,944/55,129 = 55,129/x
  3. Step 3: Cross multiply
    25,944x = 55,129 × 55,129
  4. Step 4: Simplify right side
    25,944x = 3,039,206,641
  5. Step 5: Solve for x
    x = 3,039,206,641/25,944
  6. Step 6: Final answer
    x = 117,144.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.