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Finding the Third Proportional to 51,164 and 104,864

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Solution

The third proportional to 51,164 and 104,864 is: 214,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164 : 104,864 = 104,864 : x
  2. Step 2: Convert to fraction form
    51,164/104,864 = 104,864/x
  3. Step 3: Cross multiply
    51,164x = 104,864 × 104,864
  4. Step 4: Simplify right side
    51,164x = 10,996,458,496
  5. Step 5: Solve for x
    x = 10,996,458,496/51,164
  6. Step 6: Final answer
    x = 214,925.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.