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Finding the Third Proportional to 63,212 and 95,218

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Solution

The third proportional to 63,212 and 95,218 is: 143,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,212 : 95,218 = 95,218 : x
  2. Step 2: Convert to fraction form
    63,212/95,218 = 95,218/x
  3. Step 3: Cross multiply
    63,212x = 95,218 × 95,218
  4. Step 4: Simplify right side
    63,212x = 9,066,467,524
  5. Step 5: Solve for x
    x = 9,066,467,524/63,212
  6. Step 6: Final answer
    x = 143,429.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.