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Finding the Third Proportional to 110,483 and 172,831

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Solution

The third proportional to 110,483 and 172,831 is: 270,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,483 : 172,831 = 172,831 : x
  2. Step 2: Convert to fraction form
    110,483/172,831 = 172,831/x
  3. Step 3: Cross multiply
    110,483x = 172,831 × 172,831
  4. Step 4: Simplify right side
    110,483x = 29,870,554,561
  5. Step 5: Solve for x
    x = 29,870,554,561/110,483
  6. Step 6: Final answer
    x = 270,363.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.