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Finding the Third Proportional to 62,311.50 and 137,084

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Solution

The third proportional to 62,311.50 and 137,084 is: 301,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,311.50 : 137,084 = 137,084 : x
  2. Step 2: Convert to fraction form
    62,311.50/137,084 = 137,084/x
  3. Step 3: Cross multiply
    62,311.50x = 137,084 × 137,084
  4. Step 4: Simplify right side
    62,311.50x = 18,792,023,056
  5. Step 5: Solve for x
    x = 18,792,023,056/62,311.50
  6. Step 6: Final answer
    x = 301,581.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.