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Finding the Third Proportional to 52,149 and 114,663

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Solution

The third proportional to 52,149 and 114,663 is: 252,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149 : 114,663 = 114,663 : x
  2. Step 2: Convert to fraction form
    52,149/114,663 = 114,663/x
  3. Step 3: Cross multiply
    52,149x = 114,663 × 114,663
  4. Step 4: Simplify right side
    52,149x = 13,147,603,569
  5. Step 5: Solve for x
    x = 13,147,603,569/52,149
  6. Step 6: Final answer
    x = 252,116.12

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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.