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Finding the Third Proportional to 103,777.50 and 151,965

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Solution

The third proportional to 103,777.50 and 151,965 is: 222,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,777.50 : 151,965 = 151,965 : x
  2. Step 2: Convert to fraction form
    103,777.50/151,965 = 151,965/x
  3. Step 3: Cross multiply
    103,777.50x = 151,965 × 151,965
  4. Step 4: Simplify right side
    103,777.50x = 23,093,361,225
  5. Step 5: Solve for x
    x = 23,093,361,225/103,777.50
  6. Step 6: Final answer
    x = 222,527.63

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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.