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Finding the Third Proportional to 25,234 and 52,087

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Solution

The third proportional to 25,234 and 52,087 is: 107,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234 : 52,087 = 52,087 : x
  2. Step 2: Convert to fraction form
    25,234/52,087 = 52,087/x
  3. Step 3: Cross multiply
    25,234x = 52,087 × 52,087
  4. Step 4: Simplify right side
    25,234x = 2,713,055,569
  5. Step 5: Solve for x
    x = 2,713,055,569/25,234
  6. Step 6: Final answer
    x = 107,515.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.