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Finding the Third Proportional to 125,138 and 188,769

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Solution

The third proportional to 125,138 and 188,769 is: 284,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,138 : 188,769 = 188,769 : x
  2. Step 2: Convert to fraction form
    125,138/188,769 = 188,769/x
  3. Step 3: Cross multiply
    125,138x = 188,769 × 188,769
  4. Step 4: Simplify right side
    125,138x = 35,633,735,361
  5. Step 5: Solve for x
    x = 35,633,735,361/125,138
  6. Step 6: Final answer
    x = 284,755.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.