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Finding the Third Proportional to 73,224 and 107,244

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Solution

The third proportional to 73,224 and 107,244 is: 157,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,224 : 107,244 = 107,244 : x
  2. Step 2: Convert to fraction form
    73,224/107,244 = 107,244/x
  3. Step 3: Cross multiply
    73,224x = 107,244 × 107,244
  4. Step 4: Simplify right side
    73,224x = 11,501,275,536
  5. Step 5: Solve for x
    x = 11,501,275,536/73,224
  6. Step 6: Final answer
    x = 157,069.75

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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.