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Finding the Third Proportional to 120,670.50 and 158,682

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Solution

The third proportional to 120,670.50 and 158,682 is: 208,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,670.50 : 158,682 = 158,682 : x
  2. Step 2: Convert to fraction form
    120,670.50/158,682 = 158,682/x
  3. Step 3: Cross multiply
    120,670.50x = 158,682 × 158,682
  4. Step 4: Simplify right side
    120,670.50x = 25,179,977,124
  5. Step 5: Solve for x
    x = 25,179,977,124/120,670.50
  6. Step 6: Final answer
    x = 208,667.21

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.