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Finding the Third Proportional to 135,212 and 212,098

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Solution

The third proportional to 135,212 and 212,098 is: 332,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,212 : 212,098 = 212,098 : x
  2. Step 2: Convert to fraction form
    135,212/212,098 = 212,098/x
  3. Step 3: Cross multiply
    135,212x = 212,098 × 212,098
  4. Step 4: Simplify right side
    135,212x = 44,985,561,604
  5. Step 5: Solve for x
    x = 44,985,561,604/135,212
  6. Step 6: Final answer
    x = 332,703.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.