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Finding the Third Proportional to 80,231.50 and 127,151.50

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Solution

The third proportional to 80,231.50 and 127,151.50 is: 201,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,231.50 : 127,151.50 = 127,151.50 : x
  2. Step 2: Convert to fraction form
    80,231.50/127,151.50 = 127,151.50/x
  3. Step 3: Cross multiply
    80,231.50x = 127,151.50 × 127,151.50
  4. Step 4: Simplify right side
    80,231.50x = 16,167,503,952.25
  5. Step 5: Solve for x
    x = 16,167,503,952.25/80,231.50
  6. Step 6: Final answer
    x = 201,510.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.