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Finding the Third Proportional to 73,226 and 159,878

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Solution

The third proportional to 73,226 and 159,878 is: 349,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226 : 159,878 = 159,878 : x
  2. Step 2: Convert to fraction form
    73,226/159,878 = 159,878/x
  3. Step 3: Cross multiply
    73,226x = 159,878 × 159,878
  4. Step 4: Simplify right side
    73,226x = 25,560,974,884
  5. Step 5: Solve for x
    x = 25,560,974,884/73,226
  6. Step 6: Final answer
    x = 349,069.66

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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.