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Finding the Third Proportional to 110,131 and 158,997

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Solution

The third proportional to 110,131 and 158,997 is: 229,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,131 : 158,997 = 158,997 : x
  2. Step 2: Convert to fraction form
    110,131/158,997 = 158,997/x
  3. Step 3: Cross multiply
    110,131x = 158,997 × 158,997
  4. Step 4: Simplify right side
    110,131x = 25,280,046,009
  5. Step 5: Solve for x
    x = 25,280,046,009/110,131
  6. Step 6: Final answer
    x = 229,545.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.