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Finding the Third Proportional to 62,222.38 and 146,260.75

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Solution

The third proportional to 62,222.38 and 146,260.75 is: 343,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,222.38 : 146,260.75 = 146,260.75 : x
  2. Step 2: Convert to fraction form
    62,222.38/146,260.75 = 146,260.75/x
  3. Step 3: Cross multiply
    62,222.38x = 146,260.75 × 146,260.75
  4. Step 4: Simplify right side
    62,222.38x = 21,392,206,990.56
  5. Step 5: Solve for x
    x = 21,392,206,990.56/62,222.38
  6. Step 6: Final answer
    x = 343,802.48

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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.