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Finding the Third Proportional to 41,321.50 and 89,202

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Solution

The third proportional to 41,321.50 and 89,202 is: 192,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,321.50 : 89,202 = 89,202 : x
  2. Step 2: Convert to fraction form
    41,321.50/89,202 = 89,202/x
  3. Step 3: Cross multiply
    41,321.50x = 89,202 × 89,202
  4. Step 4: Simplify right side
    41,321.50x = 7,956,996,804
  5. Step 5: Solve for x
    x = 7,956,996,804/41,321.50
  6. Step 6: Final answer
    x = 192,563.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.