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Finding the Third Proportional to 88,168 and 193,832

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Solution

The third proportional to 88,168 and 193,832 is: 426,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,168 : 193,832 = 193,832 : x
  2. Step 2: Convert to fraction form
    88,168/193,832 = 193,832/x
  3. Step 3: Cross multiply
    88,168x = 193,832 × 193,832
  4. Step 4: Simplify right side
    88,168x = 37,570,844,224
  5. Step 5: Solve for x
    x = 37,570,844,224/88,168
  6. Step 6: Final answer
    x = 426,127.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.