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Finding the Third Proportional to 25,286 and 55,109

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Solution

The third proportional to 25,286 and 55,109 is: 120,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286 : 55,109 = 55,109 : x
  2. Step 2: Convert to fraction form
    25,286/55,109 = 55,109/x
  3. Step 3: Cross multiply
    25,286x = 55,109 × 55,109
  4. Step 4: Simplify right side
    25,286x = 3,037,001,881
  5. Step 5: Solve for x
    x = 3,037,001,881/25,286
  6. Step 6: Final answer
    x = 120,106.06

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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.