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Finding the Third Proportional to 51,039 and 110,295

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Solution

The third proportional to 51,039 and 110,295 is: 238,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,039 : 110,295 = 110,295 : x
  2. Step 2: Convert to fraction form
    51,039/110,295 = 110,295/x
  3. Step 3: Cross multiply
    51,039x = 110,295 × 110,295
  4. Step 4: Simplify right side
    51,039x = 12,164,987,025
  5. Step 5: Solve for x
    x = 12,164,987,025/51,039
  6. Step 6: Final answer
    x = 238,346.89

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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.