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Finding the Third Proportional to 91,327.50 and 143,302

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Solution

The third proportional to 91,327.50 and 143,302 is: 224,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,327.50 : 143,302 = 143,302 : x
  2. Step 2: Convert to fraction form
    91,327.50/143,302 = 143,302/x
  3. Step 3: Cross multiply
    91,327.50x = 143,302 × 143,302
  4. Step 4: Simplify right side
    91,327.50x = 20,535,463,204
  5. Step 5: Solve for x
    x = 20,535,463,204/91,327.50
  6. Step 6: Final answer
    x = 224,855.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.