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Finding the Third Proportional to 129,242 and 188,850

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Solution

The third proportional to 129,242 and 188,850 is: 275,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,242 : 188,850 = 188,850 : x
  2. Step 2: Convert to fraction form
    129,242/188,850 = 188,850/x
  3. Step 3: Cross multiply
    129,242x = 188,850 × 188,850
  4. Step 4: Simplify right side
    129,242x = 35,664,322,500
  5. Step 5: Solve for x
    x = 35,664,322,500/129,242
  6. Step 6: Final answer
    x = 275,949.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.