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Finding the Third Proportional to 101,766 and 217,054

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Solution

The third proportional to 101,766 and 217,054 is: 462,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,766 : 217,054 = 217,054 : x
  2. Step 2: Convert to fraction form
    101,766/217,054 = 217,054/x
  3. Step 3: Cross multiply
    101,766x = 217,054 × 217,054
  4. Step 4: Simplify right side
    101,766x = 47,112,438,916
  5. Step 5: Solve for x
    x = 47,112,438,916/101,766
  6. Step 6: Final answer
    x = 462,948.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.