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Finding the Third Proportional to 102,712 and 220,756

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Solution

The third proportional to 102,712 and 220,756 is: 474,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,712 : 220,756 = 220,756 : x
  2. Step 2: Convert to fraction form
    102,712/220,756 = 220,756/x
  3. Step 3: Cross multiply
    102,712x = 220,756 × 220,756
  4. Step 4: Simplify right side
    102,712x = 48,733,211,536
  5. Step 5: Solve for x
    x = 48,733,211,536/102,712
  6. Step 6: Final answer
    x = 474,464.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.