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Finding the Third Proportional to 105,724 and 220,195

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Solution

The third proportional to 105,724 and 220,195 is: 458,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724 : 220,195 = 220,195 : x
  2. Step 2: Convert to fraction form
    105,724/220,195 = 220,195/x
  3. Step 3: Cross multiply
    105,724x = 220,195 × 220,195
  4. Step 4: Simplify right side
    105,724x = 48,485,838,025
  5. Step 5: Solve for x
    x = 48,485,838,025/105,724
  6. Step 6: Final answer
    x = 458,607.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.