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Finding the Third Proportional to 110,208 and 163,692

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Solution

The third proportional to 110,208 and 163,692 is: 243,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,208 : 163,692 = 163,692 : x
  2. Step 2: Convert to fraction form
    110,208/163,692 = 163,692/x
  3. Step 3: Cross multiply
    110,208x = 163,692 × 163,692
  4. Step 4: Simplify right side
    110,208x = 26,795,070,864
  5. Step 5: Solve for x
    x = 26,795,070,864/110,208
  6. Step 6: Final answer
    x = 243,131.81

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Why These Related Problems?

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