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Finding the Third Proportional to 125,766 and 190,269

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Solution

The third proportional to 125,766 and 190,269 is: 287,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,766 : 190,269 = 190,269 : x
  2. Step 2: Convert to fraction form
    125,766/190,269 = 190,269/x
  3. Step 3: Cross multiply
    125,766x = 190,269 × 190,269
  4. Step 4: Simplify right side
    125,766x = 36,202,292,361
  5. Step 5: Solve for x
    x = 36,202,292,361/125,766
  6. Step 6: Final answer
    x = 287,854.37

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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.