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Finding the Third Proportional to 132,921 and 199,381.50

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Solution

The third proportional to 132,921 and 199,381.50 is: 299,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,921 : 199,381.50 = 199,381.50 : x
  2. Step 2: Convert to fraction form
    132,921/199,381.50 = 199,381.50/x
  3. Step 3: Cross multiply
    132,921x = 199,381.50 × 199,381.50
  4. Step 4: Simplify right side
    132,921x = 39,752,982,542.25
  5. Step 5: Solve for x
    x = 39,752,982,542.25/132,921
  6. Step 6: Final answer
    x = 299,072.25

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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.