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Finding the Third Proportional to 95,569 and 143,338

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Solution

The third proportional to 95,569 and 143,338 is: 214,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,569 : 143,338 = 143,338 : x
  2. Step 2: Convert to fraction form
    95,569/143,338 = 143,338/x
  3. Step 3: Cross multiply
    95,569x = 143,338 × 143,338
  4. Step 4: Simplify right side
    95,569x = 20,545,782,244
  5. Step 5: Solve for x
    x = 20,545,782,244/95,569
  6. Step 6: Final answer
    x = 214,983.75

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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.