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Finding the Third Proportional to 110,982 and 171,336

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Solution

The third proportional to 110,982 and 171,336 is: 264,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982 : 171,336 = 171,336 : x
  2. Step 2: Convert to fraction form
    110,982/171,336 = 171,336/x
  3. Step 3: Cross multiply
    110,982x = 171,336 × 171,336
  4. Step 4: Simplify right side
    110,982x = 29,356,024,896
  5. Step 5: Solve for x
    x = 29,356,024,896/110,982
  6. Step 6: Final answer
    x = 264,511.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.