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Finding the Third Proportional to 72,214.50 and 107,923

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Solution

The third proportional to 72,214.50 and 107,923 is: 161,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,214.50 : 107,923 = 107,923 : x
  2. Step 2: Convert to fraction form
    72,214.50/107,923 = 107,923/x
  3. Step 3: Cross multiply
    72,214.50x = 107,923 × 107,923
  4. Step 4: Simplify right side
    72,214.50x = 11,647,373,929
  5. Step 5: Solve for x
    x = 11,647,373,929/72,214.50
  6. Step 6: Final answer
    x = 161,288.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.