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Finding the Third Proportional to 62,295.75 and 146,247.75

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Solution

The third proportional to 62,295.75 and 146,247.75 is: 343,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,295.75 : 146,247.75 = 146,247.75 : x
  2. Step 2: Convert to fraction form
    62,295.75/146,247.75 = 146,247.75/x
  3. Step 3: Cross multiply
    62,295.75x = 146,247.75 × 146,247.75
  4. Step 4: Simplify right side
    62,295.75x = 21,388,404,380.06
  5. Step 5: Solve for x
    x = 21,388,404,380.06/62,295.75
  6. Step 6: Final answer
    x = 343,336.49

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.