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Finding the Third Proportional to 132,217 and 192,788

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Solution

The third proportional to 132,217 and 192,788 is: 281,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,217 : 192,788 = 192,788 : x
  2. Step 2: Convert to fraction form
    132,217/192,788 = 192,788/x
  3. Step 3: Cross multiply
    132,217x = 192,788 × 192,788
  4. Step 4: Simplify right side
    132,217x = 37,167,212,944
  5. Step 5: Solve for x
    x = 37,167,212,944/132,217
  6. Step 6: Final answer
    x = 281,107.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.