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Finding the Third Proportional to 62,380.13 and 146,458.13

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Solution

The third proportional to 62,380.13 and 146,458.13 is: 343,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,380.13 : 146,458.13 = 146,458.13 : x
  2. Step 2: Convert to fraction form
    62,380.13/146,458.13 = 146,458.13/x
  3. Step 3: Cross multiply
    62,380.13x = 146,458.13 × 146,458.13
  4. Step 4: Simplify right side
    62,380.13x = 21,449,982,378.52
  5. Step 5: Solve for x
    x = 21,449,982,378.52/62,380.13
  6. Step 6: Final answer
    x = 343,859.24

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Why These Related Problems?

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