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Finding the Third Proportional to 84,228 and 125,109

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Solution

The third proportional to 84,228 and 125,109 is: 185,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228 : 125,109 = 125,109 : x
  2. Step 2: Convert to fraction form
    84,228/125,109 = 125,109/x
  3. Step 3: Cross multiply
    84,228x = 125,109 × 125,109
  4. Step 4: Simplify right side
    84,228x = 15,652,261,881
  5. Step 5: Solve for x
    x = 15,652,261,881/84,228
  6. Step 6: Final answer
    x = 185,832.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.