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Finding the Third Proportional to 73,601 and 158,859

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Solution

The third proportional to 73,601 and 158,859 is: 342,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,601 : 158,859 = 158,859 : x
  2. Step 2: Convert to fraction form
    73,601/158,859 = 158,859/x
  3. Step 3: Cross multiply
    73,601x = 158,859 × 158,859
  4. Step 4: Simplify right side
    73,601x = 25,236,181,881
  5. Step 5: Solve for x
    x = 25,236,181,881/73,601
  6. Step 6: Final answer
    x = 342,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.