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Finding the Third Proportional to 73,089 and 159,846

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Solution

The third proportional to 73,089 and 159,846 is: 349,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,089 : 159,846 = 159,846 : x
  2. Step 2: Convert to fraction form
    73,089/159,846 = 159,846/x
  3. Step 3: Cross multiply
    73,089x = 159,846 × 159,846
  4. Step 4: Simplify right side
    73,089x = 25,550,743,716
  5. Step 5: Solve for x
    x = 25,550,743,716/73,089
  6. Step 6: Final answer
    x = 349,583.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.