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Finding the Third Proportional to 85,225.50 and 132,084

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Solution

The third proportional to 85,225.50 and 132,084 is: 204,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,225.50 : 132,084 = 132,084 : x
  2. Step 2: Convert to fraction form
    85,225.50/132,084 = 132,084/x
  3. Step 3: Cross multiply
    85,225.50x = 132,084 × 132,084
  4. Step 4: Simplify right side
    85,225.50x = 17,446,183,056
  5. Step 5: Solve for x
    x = 17,446,183,056/85,225.50
  6. Step 6: Final answer
    x = 204,706.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.