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Finding the Third Proportional to 105,873 and 226,101

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Solution

The third proportional to 105,873 and 226,101 is: 482,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873 : 226,101 = 226,101 : x
  2. Step 2: Convert to fraction form
    105,873/226,101 = 226,101/x
  3. Step 3: Cross multiply
    105,873x = 226,101 × 226,101
  4. Step 4: Simplify right side
    105,873x = 51,121,662,201
  5. Step 5: Solve for x
    x = 51,121,662,201/105,873
  6. Step 6: Final answer
    x = 482,858.35

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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.