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Finding the Third Proportional to 110,724 and 165,924

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Solution

The third proportional to 110,724 and 165,924 is: 248,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,724 : 165,924 = 165,924 : x
  2. Step 2: Convert to fraction form
    110,724/165,924 = 165,924/x
  3. Step 3: Cross multiply
    110,724x = 165,924 × 165,924
  4. Step 4: Simplify right side
    110,724x = 27,530,773,776
  5. Step 5: Solve for x
    x = 27,530,773,776/110,724
  6. Step 6: Final answer
    x = 248,643.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.