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Finding the Third Proportional to 132,771 and 199,300

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Solution

The third proportional to 132,771 and 199,300 is: 299,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,771 : 199,300 = 199,300 : x
  2. Step 2: Convert to fraction form
    132,771/199,300 = 199,300/x
  3. Step 3: Cross multiply
    132,771x = 199,300 × 199,300
  4. Step 4: Simplify right side
    132,771x = 39,720,490,000
  5. Step 5: Solve for x
    x = 39,720,490,000/132,771
  6. Step 6: Final answer
    x = 299,165.41

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