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Finding the Third Proportional to 47,546 and 102,617

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Solution

The third proportional to 47,546 and 102,617 is: 221,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,546 : 102,617 = 102,617 : x
  2. Step 2: Convert to fraction form
    47,546/102,617 = 102,617/x
  3. Step 3: Cross multiply
    47,546x = 102,617 × 102,617
  4. Step 4: Simplify right side
    47,546x = 10,530,248,689
  5. Step 5: Solve for x
    x = 10,530,248,689/47,546
  6. Step 6: Final answer
    x = 221,474.97

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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.