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Finding the Third Proportional to 72,204 and 107,707

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Solution

The third proportional to 72,204 and 107,707 is: 160,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,204 : 107,707 = 107,707 : x
  2. Step 2: Convert to fraction form
    72,204/107,707 = 107,707/x
  3. Step 3: Cross multiply
    72,204x = 107,707 × 107,707
  4. Step 4: Simplify right side
    72,204x = 11,600,797,849
  5. Step 5: Solve for x
    x = 11,600,797,849/72,204
  6. Step 6: Final answer
    x = 160,666.97

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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.