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Finding the Third Proportional to 51,833 and 108,887

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Solution

The third proportional to 51,833 and 108,887 is: 228,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833 : 108,887 = 108,887 : x
  2. Step 2: Convert to fraction form
    51,833/108,887 = 108,887/x
  3. Step 3: Cross multiply
    51,833x = 108,887 × 108,887
  4. Step 4: Simplify right side
    51,833x = 11,856,378,769
  5. Step 5: Solve for x
    x = 11,856,378,769/51,833
  6. Step 6: Final answer
    x = 228,741.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.