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Finding the Third Proportional to 88,211 and 133,137

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Solution

The third proportional to 88,211 and 133,137 is: 200,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,211 : 133,137 = 133,137 : x
  2. Step 2: Convert to fraction form
    88,211/133,137 = 133,137/x
  3. Step 3: Cross multiply
    88,211x = 133,137 × 133,137
  4. Step 4: Simplify right side
    88,211x = 17,725,460,769
  5. Step 5: Solve for x
    x = 17,725,460,769/88,211
  6. Step 6: Final answer
    x = 200,943.88

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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.