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Finding the Third Proportional to 63,886 and 95,982

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Solution

The third proportional to 63,886 and 95,982 is: 144,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886 : 95,982 = 95,982 : x
  2. Step 2: Convert to fraction form
    63,886/95,982 = 95,982/x
  3. Step 3: Cross multiply
    63,886x = 95,982 × 95,982
  4. Step 4: Simplify right side
    63,886x = 9,212,544,324
  5. Step 5: Solve for x
    x = 9,212,544,324/63,886
  6. Step 6: Final answer
    x = 144,202.87

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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.