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Finding the Third Proportional to 110,646 and 167,641

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Solution

The third proportional to 110,646 and 167,641 is: 253,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,646 : 167,641 = 167,641 : x
  2. Step 2: Convert to fraction form
    110,646/167,641 = 167,641/x
  3. Step 3: Cross multiply
    110,646x = 167,641 × 167,641
  4. Step 4: Simplify right side
    110,646x = 28,103,504,881
  5. Step 5: Solve for x
    x = 28,103,504,881/110,646
  6. Step 6: Final answer
    x = 253,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.