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Finding the Third Proportional to 132,930 and 199,492

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Solution

The third proportional to 132,930 and 199,492 is: 299,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,930 : 199,492 = 199,492 : x
  2. Step 2: Convert to fraction form
    132,930/199,492 = 199,492/x
  3. Step 3: Cross multiply
    132,930x = 199,492 × 199,492
  4. Step 4: Simplify right side
    132,930x = 39,797,058,064
  5. Step 5: Solve for x
    x = 39,797,058,064/132,930
  6. Step 6: Final answer
    x = 299,383.57

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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.