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Finding the Third Proportional to 95,906 and 143,571

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Solution

The third proportional to 95,906 and 143,571 is: 214,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,906 : 143,571 = 143,571 : x
  2. Step 2: Convert to fraction form
    95,906/143,571 = 143,571/x
  3. Step 3: Cross multiply
    95,906x = 143,571 × 143,571
  4. Step 4: Simplify right side
    95,906x = 20,612,632,041
  5. Step 5: Solve for x
    x = 20,612,632,041/95,906
  6. Step 6: Final answer
    x = 214,925.36

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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.