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Finding the Third Proportional to 55,464 and 118,296

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Solution

The third proportional to 55,464 and 118,296 is: 252,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464 : 118,296 = 118,296 : x
  2. Step 2: Convert to fraction form
    55,464/118,296 = 118,296/x
  3. Step 3: Cross multiply
    55,464x = 118,296 × 118,296
  4. Step 4: Simplify right side
    55,464x = 13,993,943,616
  5. Step 5: Solve for x
    x = 13,993,943,616/55,464
  6. Step 6: Final answer
    x = 252,306.79

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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.