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Finding the Third Proportional to 132,252 and 185,834

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Solution

The third proportional to 132,252 and 185,834 is: 261,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,252 : 185,834 = 185,834 : x
  2. Step 2: Convert to fraction form
    132,252/185,834 = 185,834/x
  3. Step 3: Cross multiply
    132,252x = 185,834 × 185,834
  4. Step 4: Simplify right side
    132,252x = 34,534,275,556
  5. Step 5: Solve for x
    x = 34,534,275,556/132,252
  6. Step 6: Final answer
    x = 261,124.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.