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Finding the Third Proportional to 102,934 and 220,138

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Solution

The third proportional to 102,934 and 220,138 is: 470,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,934 : 220,138 = 220,138 : x
  2. Step 2: Convert to fraction form
    102,934/220,138 = 220,138/x
  3. Step 3: Cross multiply
    102,934x = 220,138 × 220,138
  4. Step 4: Simplify right side
    102,934x = 48,460,739,044
  5. Step 5: Solve for x
    x = 48,460,739,044/102,934
  6. Step 6: Final answer
    x = 470,794.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.