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Finding the Third Proportional to 105,939 and 227,214

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Solution

The third proportional to 105,939 and 227,214 is: 487,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,939 : 227,214 = 227,214 : x
  2. Step 2: Convert to fraction form
    105,939/227,214 = 227,214/x
  3. Step 3: Cross multiply
    105,939x = 227,214 × 227,214
  4. Step 4: Simplify right side
    105,939x = 51,626,201,796
  5. Step 5: Solve for x
    x = 51,626,201,796/105,939
  6. Step 6: Final answer
    x = 487,320.08

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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.