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Finding the Third Proportional to 105,572 and 227,794

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Solution

The third proportional to 105,572 and 227,794 is: 491,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,572 : 227,794 = 227,794 : x
  2. Step 2: Convert to fraction form
    105,572/227,794 = 227,794/x
  3. Step 3: Cross multiply
    105,572x = 227,794 × 227,794
  4. Step 4: Simplify right side
    105,572x = 51,890,106,436
  5. Step 5: Solve for x
    x = 51,890,106,436/105,572
  6. Step 6: Final answer
    x = 491,513.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.