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Finding the Third Proportional to 55,863 and 114,687

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Solution

The third proportional to 55,863 and 114,687 is: 235,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863 : 114,687 = 114,687 : x
  2. Step 2: Convert to fraction form
    55,863/114,687 = 114,687/x
  3. Step 3: Cross multiply
    55,863x = 114,687 × 114,687
  4. Step 4: Simplify right side
    55,863x = 13,153,107,969
  5. Step 5: Solve for x
    x = 13,153,107,969/55,863
  6. Step 6: Final answer
    x = 235,452.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.