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Finding the Third Proportional to 73,640.39 and 107,584.45

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Solution

The third proportional to 73,640.39 and 107,584.45 is: 157,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,640.39 : 107,584.45 = 107,584.45 : x
  2. Step 2: Convert to fraction form
    73,640.39/107,584.45 = 107,584.45/x
  3. Step 3: Cross multiply
    73,640.39x = 107,584.45 × 107,584.45
  4. Step 4: Simplify right side
    73,640.39x = 11,574,414,554.21
  5. Step 5: Solve for x
    x = 11,574,414,554.21/73,640.39
  6. Step 6: Final answer
    x = 157,174.81

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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.