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Finding the Third Proportional to 114,525 and 251,109

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Solution

The third proportional to 114,525 and 251,109 is: 550,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,525 : 251,109 = 251,109 : x
  2. Step 2: Convert to fraction form
    114,525/251,109 = 251,109/x
  3. Step 3: Cross multiply
    114,525x = 251,109 × 251,109
  4. Step 4: Simplify right side
    114,525x = 63,055,729,881
  5. Step 5: Solve for x
    x = 63,055,729,881/114,525
  6. Step 6: Final answer
    x = 550,584.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.