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Finding the Third Proportional to 70,170 and 155,109

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Solution

The third proportional to 70,170 and 155,109 is: 342,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,170 : 155,109 = 155,109 : x
  2. Step 2: Convert to fraction form
    70,170/155,109 = 155,109/x
  3. Step 3: Cross multiply
    70,170x = 155,109 × 155,109
  4. Step 4: Simplify right side
    70,170x = 24,058,801,881
  5. Step 5: Solve for x
    x = 24,058,801,881/70,170
  6. Step 6: Final answer
    x = 342,864.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.