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Finding the Third Proportional to 110,966 and 171,629

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Solution

The third proportional to 110,966 and 171,629 is: 265,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,966 : 171,629 = 171,629 : x
  2. Step 2: Convert to fraction form
    110,966/171,629 = 171,629/x
  3. Step 3: Cross multiply
    110,966x = 171,629 × 171,629
  4. Step 4: Simplify right side
    110,966x = 29,456,513,641
  5. Step 5: Solve for x
    x = 29,456,513,641/110,966
  6. Step 6: Final answer
    x = 265,455.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.