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Finding the Third Proportional to 54,536.44 and 114,013.69

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Solution

The third proportional to 54,536.44 and 114,013.69 is: 238,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,536.44 : 114,013.69 = 114,013.69 : x
  2. Step 2: Convert to fraction form
    54,536.44/114,013.69 = 114,013.69/x
  3. Step 3: Cross multiply
    54,536.44x = 114,013.69 × 114,013.69
  4. Step 4: Simplify right side
    54,536.44x = 12,999,120,937.35
  5. Step 5: Solve for x
    x = 12,999,120,937.35/54,536.44
  6. Step 6: Final answer
    x = 238,356.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.