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Finding the Third Proportional to 80,895 and 122,474.50

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Solution

The third proportional to 80,895 and 122,474.50 is: 185,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,895 : 122,474.50 = 122,474.50 : x
  2. Step 2: Convert to fraction form
    80,895/122,474.50 = 122,474.50/x
  3. Step 3: Cross multiply
    80,895x = 122,474.50 × 122,474.50
  4. Step 4: Simplify right side
    80,895x = 15,000,003,150.25
  5. Step 5: Solve for x
    x = 15,000,003,150.25/80,895
  6. Step 6: Final answer
    x = 185,425.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.