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Finding the Third Proportional to 91,651.50 and 140,251.50

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Solution

The third proportional to 91,651.50 and 140,251.50 is: 214,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,651.50 : 140,251.50 = 140,251.50 : x
  2. Step 2: Convert to fraction form
    91,651.50/140,251.50 = 140,251.50/x
  3. Step 3: Cross multiply
    91,651.50x = 140,251.50 × 140,251.50
  4. Step 4: Simplify right side
    91,651.50x = 19,670,483,252.25
  5. Step 5: Solve for x
    x = 19,670,483,252.25/91,651.50
  6. Step 6: Final answer
    x = 214,622.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.