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Finding the Third Proportional to 62,982.56 and 138,251.81

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Solution

The third proportional to 62,982.56 and 138,251.81 is: 303,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,982.56 : 138,251.81 = 138,251.81 : x
  2. Step 2: Convert to fraction form
    62,982.56/138,251.81 = 138,251.81/x
  3. Step 3: Cross multiply
    62,982.56x = 138,251.81 × 138,251.81
  4. Step 4: Simplify right side
    62,982.56x = 19,113,563,659.54
  5. Step 5: Solve for x
    x = 19,113,563,659.54/62,982.56
  6. Step 6: Final answer
    x = 303,473.90

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Why These Related Problems?

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