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Finding the Third Proportional to 119,009 and 171,961

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Solution

The third proportional to 119,009 and 171,961 is: 248,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,009 : 171,961 = 171,961 : x
  2. Step 2: Convert to fraction form
    119,009/171,961 = 171,961/x
  3. Step 3: Cross multiply
    119,009x = 171,961 × 171,961
  4. Step 4: Simplify right side
    119,009x = 29,570,585,521
  5. Step 5: Solve for x
    x = 29,570,585,521/119,009
  6. Step 6: Final answer
    x = 248,473.52

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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.