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Finding the Third Proportional to 51,032 and 110,464

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Solution

The third proportional to 51,032 and 110,464 is: 239,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 110,464 = 110,464 : x
  2. Step 2: Convert to fraction form
    51,032/110,464 = 110,464/x
  3. Step 3: Cross multiply
    51,032x = 110,464 × 110,464
  4. Step 4: Simplify right side
    51,032x = 12,202,295,296
  5. Step 5: Solve for x
    x = 12,202,295,296/51,032
  6. Step 6: Final answer
    x = 239,110.66

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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.