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Finding the Third Proportional to 51,864 and 117,192

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Solution

The third proportional to 51,864 and 117,192 is: 264,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864 : 117,192 = 117,192 : x
  2. Step 2: Convert to fraction form
    51,864/117,192 = 117,192/x
  3. Step 3: Cross multiply
    51,864x = 117,192 × 117,192
  4. Step 4: Simplify right side
    51,864x = 13,733,964,864
  5. Step 5: Solve for x
    x = 13,733,964,864/51,864
  6. Step 6: Final answer
    x = 264,807.28

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.