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Finding the Third Proportional to 95,571 and 143,341

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Solution

The third proportional to 95,571 and 143,341 is: 214,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,571 : 143,341 = 143,341 : x
  2. Step 2: Convert to fraction form
    95,571/143,341 = 143,341/x
  3. Step 3: Cross multiply
    95,571x = 143,341 × 143,341
  4. Step 4: Simplify right side
    95,571x = 20,546,642,281
  5. Step 5: Solve for x
    x = 20,546,642,281/95,571
  6. Step 6: Final answer
    x = 214,988.25

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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.