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Finding the Third Proportional to 73,893.38 and 108,218.81

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Solution

The third proportional to 73,893.38 and 108,218.81 is: 158,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,893.38 : 108,218.81 = 108,218.81 : x
  2. Step 2: Convert to fraction form
    73,893.38/108,218.81 = 108,218.81/x
  3. Step 3: Cross multiply
    73,893.38x = 108,218.81 × 108,218.81
  4. Step 4: Simplify right side
    73,893.38x = 11,711,311,378.91
  5. Step 5: Solve for x
    x = 11,711,311,378.91/73,893.38
  6. Step 6: Final answer
    x = 158,489.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.