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Finding the Third Proportional to 102,696 and 220,144

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Solution

The third proportional to 102,696 and 220,144 is: 471,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,696 : 220,144 = 220,144 : x
  2. Step 2: Convert to fraction form
    102,696/220,144 = 220,144/x
  3. Step 3: Cross multiply
    102,696x = 220,144 × 220,144
  4. Step 4: Simplify right side
    102,696x = 48,463,380,736
  5. Step 5: Solve for x
    x = 48,463,380,736/102,696
  6. Step 6: Final answer
    x = 471,911.08

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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.