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Finding the Third Proportional to 50,810 and 116,861

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Solution

The third proportional to 50,810 and 116,861 is: 268,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,810 : 116,861 = 116,861 : x
  2. Step 2: Convert to fraction form
    50,810/116,861 = 116,861/x
  3. Step 3: Cross multiply
    50,810x = 116,861 × 116,861
  4. Step 4: Simplify right side
    50,810x = 13,656,493,321
  5. Step 5: Solve for x
    x = 13,656,493,321/50,810
  6. Step 6: Final answer
    x = 268,775.70

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.