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Finding the Third Proportional to 94,884.75 and 146,863.13

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Solution

The third proportional to 94,884.75 and 146,863.13 is: 227,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,884.75 : 146,863.13 = 146,863.13 : x
  2. Step 2: Convert to fraction form
    94,884.75/146,863.13 = 146,863.13/x
  3. Step 3: Cross multiply
    94,884.75x = 146,863.13 × 146,863.13
  4. Step 4: Simplify right side
    94,884.75x = 21,568,777,484.77
  5. Step 5: Solve for x
    x = 21,568,777,484.77/94,884.75
  6. Step 6: Final answer
    x = 227,315.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.