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Finding the Third Proportional to 50,178.23 and 73,383.19

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Solution

The third proportional to 50,178.23 and 73,383.19 is: 107,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178.23 : 73,383.19 = 73,383.19 : x
  2. Step 2: Convert to fraction form
    50,178.23/73,383.19 = 73,383.19/x
  3. Step 3: Cross multiply
    50,178.23x = 73,383.19 × 73,383.19
  4. Step 4: Simplify right side
    50,178.23x = 5,385,092,207.66
  5. Step 5: Solve for x
    x = 5,385,092,207.66/50,178.23
  6. Step 6: Final answer
    x = 107,319.28

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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.