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Finding the Third Proportional to 120,885 and 169,933.50

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Solution

The third proportional to 120,885 and 169,933.50 is: 238,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885 : 169,933.50 = 169,933.50 : x
  2. Step 2: Convert to fraction form
    120,885/169,933.50 = 169,933.50/x
  3. Step 3: Cross multiply
    120,885x = 169,933.50 × 169,933.50
  4. Step 4: Simplify right side
    120,885x = 28,877,394,422.25
  5. Step 5: Solve for x
    x = 28,877,394,422.25/120,885
  6. Step 6: Final answer
    x = 238,883.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.