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Finding the Third Proportional to 125,296 and 181,031

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Solution

The third proportional to 125,296 and 181,031 is: 261,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,296 : 181,031 = 181,031 : x
  2. Step 2: Convert to fraction form
    125,296/181,031 = 181,031/x
  3. Step 3: Cross multiply
    125,296x = 181,031 × 181,031
  4. Step 4: Simplify right side
    125,296x = 32,772,222,961
  5. Step 5: Solve for x
    x = 32,772,222,961/125,296
  6. Step 6: Final answer
    x = 261,558.41

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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.