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Finding the Third Proportional to 103,856 and 225,937

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Solution

The third proportional to 103,856 and 225,937 is: 491,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,856 : 225,937 = 225,937 : x
  2. Step 2: Convert to fraction form
    103,856/225,937 = 225,937/x
  3. Step 3: Cross multiply
    103,856x = 225,937 × 225,937
  4. Step 4: Simplify right side
    103,856x = 51,047,527,969
  5. Step 5: Solve for x
    x = 51,047,527,969/103,856
  6. Step 6: Final answer
    x = 491,522.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.