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Finding the Third Proportional to 107,682 and 220,737

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Solution

The third proportional to 107,682 and 220,737 is: 452,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682 : 220,737 = 220,737 : x
  2. Step 2: Convert to fraction form
    107,682/220,737 = 220,737/x
  3. Step 3: Cross multiply
    107,682x = 220,737 × 220,737
  4. Step 4: Simplify right side
    107,682x = 48,724,823,169
  5. Step 5: Solve for x
    x = 48,724,823,169/107,682
  6. Step 6: Final answer
    x = 452,488.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.