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Finding the Third Proportional to 103,812 and 227,172

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Solution

The third proportional to 103,812 and 227,172 is: 497,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,812 : 227,172 = 227,172 : x
  2. Step 2: Convert to fraction form
    103,812/227,172 = 227,172/x
  3. Step 3: Cross multiply
    103,812x = 227,172 × 227,172
  4. Step 4: Simplify right side
    103,812x = 51,607,117,584
  5. Step 5: Solve for x
    x = 51,607,117,584/103,812
  6. Step 6: Final answer
    x = 497,120.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.