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Finding the Third Proportional to 95,922 and 143,884

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Solution

The third proportional to 95,922 and 143,884 is: 215,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,922 : 143,884 = 143,884 : x
  2. Step 2: Convert to fraction form
    95,922/143,884 = 143,884/x
  3. Step 3: Cross multiply
    95,922x = 143,884 × 143,884
  4. Step 4: Simplify right side
    95,922x = 20,702,605,456
  5. Step 5: Solve for x
    x = 20,702,605,456/95,922
  6. Step 6: Final answer
    x = 215,827.50

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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.