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Finding the Third Proportional to 70,098 and 107,193

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Solution

The third proportional to 70,098 and 107,193 is: 163,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098 : 107,193 = 107,193 : x
  2. Step 2: Convert to fraction form
    70,098/107,193 = 107,193/x
  3. Step 3: Cross multiply
    70,098x = 107,193 × 107,193
  4. Step 4: Simplify right side
    70,098x = 11,490,339,249
  5. Step 5: Solve for x
    x = 11,490,339,249/70,098
  6. Step 6: Final answer
    x = 163,918.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.