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Finding the Third Proportional to 110,952 and 167,844

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Solution

The third proportional to 110,952 and 167,844 is: 253,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,952 : 167,844 = 167,844 : x
  2. Step 2: Convert to fraction form
    110,952/167,844 = 167,844/x
  3. Step 3: Cross multiply
    110,952x = 167,844 × 167,844
  4. Step 4: Simplify right side
    110,952x = 28,171,608,336
  5. Step 5: Solve for x
    x = 28,171,608,336/110,952
  6. Step 6: Final answer
    x = 253,908.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.