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Finding the Third Proportional to 97,134 and 211,920

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Solution

The third proportional to 97,134 and 211,920 is: 462,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,134 : 211,920 = 211,920 : x
  2. Step 2: Convert to fraction form
    97,134/211,920 = 211,920/x
  3. Step 3: Cross multiply
    97,134x = 211,920 × 211,920
  4. Step 4: Simplify right side
    97,134x = 44,910,086,400
  5. Step 5: Solve for x
    x = 44,910,086,400/97,134
  6. Step 6: Final answer
    x = 462,351.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.