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Finding the Third Proportional to 95,900 and 212,760

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Solution

The third proportional to 95,900 and 212,760 is: 472,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,900 : 212,760 = 212,760 : x
  2. Step 2: Convert to fraction form
    95,900/212,760 = 212,760/x
  3. Step 3: Cross multiply
    95,900x = 212,760 × 212,760
  4. Step 4: Simplify right side
    95,900x = 45,266,817,600
  5. Step 5: Solve for x
    x = 45,266,817,600/95,900
  6. Step 6: Final answer
    x = 472,021.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.