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Finding the Third Proportional to 51,269 and 110,716

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Solution

The third proportional to 51,269 and 110,716 is: 239,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,269 : 110,716 = 110,716 : x
  2. Step 2: Convert to fraction form
    51,269/110,716 = 110,716/x
  3. Step 3: Cross multiply
    51,269x = 110,716 × 110,716
  4. Step 4: Simplify right side
    51,269x = 12,258,032,656
  5. Step 5: Solve for x
    x = 12,258,032,656/51,269
  6. Step 6: Final answer
    x = 239,092.49

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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.