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Finding the Third Proportional to 51,200 and 77,864

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Solution

The third proportional to 51,200 and 77,864 is: 118,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200 : 77,864 = 77,864 : x
  2. Step 2: Convert to fraction form
    51,200/77,864 = 77,864/x
  3. Step 3: Cross multiply
    51,200x = 77,864 × 77,864
  4. Step 4: Simplify right side
    51,200x = 6,062,802,496
  5. Step 5: Solve for x
    x = 6,062,802,496/51,200
  6. Step 6: Final answer
    x = 118,414.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.