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Finding the Third Proportional to 102,122 and 220,642

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Solution

The third proportional to 102,122 and 220,642 is: 476,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122 : 220,642 = 220,642 : x
  2. Step 2: Convert to fraction form
    102,122/220,642 = 220,642/x
  3. Step 3: Cross multiply
    102,122x = 220,642 × 220,642
  4. Step 4: Simplify right side
    102,122x = 48,682,892,164
  5. Step 5: Solve for x
    x = 48,682,892,164/102,122
  6. Step 6: Final answer
    x = 476,713.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.