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Finding the Third Proportional to 132,949 and 199,521

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Solution

The third proportional to 132,949 and 199,521 is: 299,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,949 : 199,521 = 199,521 : x
  2. Step 2: Convert to fraction form
    132,949/199,521 = 199,521/x
  3. Step 3: Cross multiply
    132,949x = 199,521 × 199,521
  4. Step 4: Simplify right side
    132,949x = 39,808,629,441
  5. Step 5: Solve for x
    x = 39,808,629,441/132,949
  6. Step 6: Final answer
    x = 299,427.82

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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.