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Finding the Third Proportional to 95,902 and 212,764

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Solution

The third proportional to 95,902 and 212,764 is: 472,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,902 : 212,764 = 212,764 : x
  2. Step 2: Convert to fraction form
    95,902/212,764 = 212,764/x
  3. Step 3: Cross multiply
    95,902x = 212,764 × 212,764
  4. Step 4: Simplify right side
    95,902x = 45,268,519,696
  5. Step 5: Solve for x
    x = 45,268,519,696/95,902
  6. Step 6: Final answer
    x = 472,028.94

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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.