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Finding the Third Proportional to 51,964 and 114,296

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Solution

The third proportional to 51,964 and 114,296 is: 251,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964 : 114,296 = 114,296 : x
  2. Step 2: Convert to fraction form
    51,964/114,296 = 114,296/x
  3. Step 3: Cross multiply
    51,964x = 114,296 × 114,296
  4. Step 4: Simplify right side
    51,964x = 13,063,575,616
  5. Step 5: Solve for x
    x = 13,063,575,616/51,964
  6. Step 6: Final answer
    x = 251,396.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.