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Finding the Third Proportional to 52,878 and 114,467

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Solution

The third proportional to 52,878 and 114,467 is: 247,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878 : 114,467 = 114,467 : x
  2. Step 2: Convert to fraction form
    52,878/114,467 = 114,467/x
  3. Step 3: Cross multiply
    52,878x = 114,467 × 114,467
  4. Step 4: Simplify right side
    52,878x = 13,102,694,089
  5. Step 5: Solve for x
    x = 13,102,694,089/52,878
  6. Step 6: Final answer
    x = 247,791.03

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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.