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Finding the Third Proportional to 70,515.38 and 146,863.13

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Solution

The third proportional to 70,515.38 and 146,863.13 is: 305,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,515.38 : 146,863.13 = 146,863.13 : x
  2. Step 2: Convert to fraction form
    70,515.38/146,863.13 = 146,863.13/x
  3. Step 3: Cross multiply
    70,515.38x = 146,863.13 × 146,863.13
  4. Step 4: Simplify right side
    70,515.38x = 21,568,777,484.77
  5. Step 5: Solve for x
    x = 21,568,777,484.77/70,515.38
  6. Step 6: Final answer
    x = 305,873.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.