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Finding the Third Proportional to 105,866 and 227,080

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Solution

The third proportional to 105,866 and 227,080 is: 487,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866 : 227,080 = 227,080 : x
  2. Step 2: Convert to fraction form
    105,866/227,080 = 227,080/x
  3. Step 3: Cross multiply
    105,866x = 227,080 × 227,080
  4. Step 4: Simplify right side
    105,866x = 51,565,326,400
  5. Step 5: Solve for x
    x = 51,565,326,400/105,866
  6. Step 6: Final answer
    x = 487,081.09

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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.