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Finding the Third Proportional to 51,022 and 110,242

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Solution

The third proportional to 51,022 and 110,242 is: 238,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022 : 110,242 = 110,242 : x
  2. Step 2: Convert to fraction form
    51,022/110,242 = 110,242/x
  3. Step 3: Cross multiply
    51,022x = 110,242 × 110,242
  4. Step 4: Simplify right side
    51,022x = 12,153,298,564
  5. Step 5: Solve for x
    x = 12,153,298,564/51,022
  6. Step 6: Final answer
    x = 238,197.22

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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.