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Finding the Third Proportional to 110,204 and 163,686

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Solution

The third proportional to 110,204 and 163,686 is: 243,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,204 : 163,686 = 163,686 : x
  2. Step 2: Convert to fraction form
    110,204/163,686 = 163,686/x
  3. Step 3: Cross multiply
    110,204x = 163,686 × 163,686
  4. Step 4: Simplify right side
    110,204x = 26,793,106,596
  5. Step 5: Solve for x
    x = 26,793,106,596/110,204
  6. Step 6: Final answer
    x = 243,122.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.