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Finding the Third Proportional to 51,032 and 108,328

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Solution

The third proportional to 51,032 and 108,328 is: 229,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 108,328 = 108,328 : x
  2. Step 2: Convert to fraction form
    51,032/108,328 = 108,328/x
  3. Step 3: Cross multiply
    51,032x = 108,328 × 108,328
  4. Step 4: Simplify right side
    51,032x = 11,734,955,584
  5. Step 5: Solve for x
    x = 11,734,955,584/51,032
  6. Step 6: Final answer
    x = 229,952.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.