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Finding the Third Proportional to 25,338 and 55,137

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Solution

The third proportional to 25,338 and 55,137 is: 119,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338 : 55,137 = 55,137 : x
  2. Step 2: Convert to fraction form
    25,338/55,137 = 55,137/x
  3. Step 3: Cross multiply
    25,338x = 55,137 × 55,137
  4. Step 4: Simplify right side
    25,338x = 3,040,088,769
  5. Step 5: Solve for x
    x = 3,040,088,769/25,338
  6. Step 6: Final answer
    x = 119,981.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.