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Finding the Third Proportional to 103,672 and 222,082

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Solution

The third proportional to 103,672 and 222,082 is: 475,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672 : 222,082 = 222,082 : x
  2. Step 2: Convert to fraction form
    103,672/222,082 = 222,082/x
  3. Step 3: Cross multiply
    103,672x = 222,082 × 222,082
  4. Step 4: Simplify right side
    103,672x = 49,320,414,724
  5. Step 5: Solve for x
    x = 49,320,414,724/103,672
  6. Step 6: Final answer
    x = 475,735.15

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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.