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Finding the Third Proportional to 73,206 and 159,797

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Solution

The third proportional to 73,206 and 159,797 is: 348,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206 : 159,797 = 159,797 : x
  2. Step 2: Convert to fraction form
    73,206/159,797 = 159,797/x
  3. Step 3: Cross multiply
    73,206x = 159,797 × 159,797
  4. Step 4: Simplify right side
    73,206x = 25,535,081,209
  5. Step 5: Solve for x
    x = 25,535,081,209/73,206
  6. Step 6: Final answer
    x = 348,811.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.