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Finding the Third Proportional to 52,544 and 113,827

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Solution

The third proportional to 52,544 and 113,827 is: 246,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,544 : 113,827 = 113,827 : x
  2. Step 2: Convert to fraction form
    52,544/113,827 = 113,827/x
  3. Step 3: Cross multiply
    52,544x = 113,827 × 113,827
  4. Step 4: Simplify right side
    52,544x = 12,956,585,929
  5. Step 5: Solve for x
    x = 12,956,585,929/52,544
  6. Step 6: Final answer
    x = 246,585.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.