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Finding the Third Proportional to 88,245 and 133,181

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Solution

The third proportional to 88,245 and 133,181 is: 200,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,245 : 133,181 = 133,181 : x
  2. Step 2: Convert to fraction form
    88,245/133,181 = 133,181/x
  3. Step 3: Cross multiply
    88,245x = 133,181 × 133,181
  4. Step 4: Simplify right side
    88,245x = 17,737,178,761
  5. Step 5: Solve for x
    x = 17,737,178,761/88,245
  6. Step 6: Final answer
    x = 200,999.25

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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.