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Finding the Third Proportional to 114,891 and 172,458

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Solution

The third proportional to 114,891 and 172,458 is: 258,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,891 : 172,458 = 172,458 : x
  2. Step 2: Convert to fraction form
    114,891/172,458 = 172,458/x
  3. Step 3: Cross multiply
    114,891x = 172,458 × 172,458
  4. Step 4: Simplify right side
    114,891x = 29,741,761,764
  5. Step 5: Solve for x
    x = 29,741,761,764/114,891
  6. Step 6: Final answer
    x = 258,869.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.