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Finding the Third Proportional to 110,844 and 171,984

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Solution

The third proportional to 110,844 and 171,984 is: 266,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,844 : 171,984 = 171,984 : x
  2. Step 2: Convert to fraction form
    110,844/171,984 = 171,984/x
  3. Step 3: Cross multiply
    110,844x = 171,984 × 171,984
  4. Step 4: Simplify right side
    110,844x = 29,578,496,256
  5. Step 5: Solve for x
    x = 29,578,496,256/110,844
  6. Step 6: Final answer
    x = 266,847.97

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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.