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Finding the Third Proportional to 88,664 and 133,212

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Solution

The third proportional to 88,664 and 133,212 is: 200,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,664 : 133,212 = 133,212 : x
  2. Step 2: Convert to fraction form
    88,664/133,212 = 133,212/x
  3. Step 3: Cross multiply
    88,664x = 133,212 × 133,212
  4. Step 4: Simplify right side
    88,664x = 17,745,436,944
  5. Step 5: Solve for x
    x = 17,745,436,944/88,664
  6. Step 6: Final answer
    x = 200,142.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.