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Finding the Third Proportional to 73,102 and 110,192

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Solution

The third proportional to 73,102 and 110,192 is: 166,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102 : 110,192 = 110,192 : x
  2. Step 2: Convert to fraction form
    73,102/110,192 = 110,192/x
  3. Step 3: Cross multiply
    73,102x = 110,192 × 110,192
  4. Step 4: Simplify right side
    73,102x = 12,142,276,864
  5. Step 5: Solve for x
    x = 12,142,276,864/73,102
  6. Step 6: Final answer
    x = 166,100.47

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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.