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Finding the Third Proportional to 57,519.81 and 117,827.47

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Solution

The third proportional to 57,519.81 and 117,827.47 is: 241,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,519.81 : 117,827.47 = 117,827.47 : x
  2. Step 2: Convert to fraction form
    57,519.81/117,827.47 = 117,827.47/x
  3. Step 3: Cross multiply
    57,519.81x = 117,827.47 × 117,827.47
  4. Step 4: Simplify right side
    57,519.81x = 13,883,313,312.56
  5. Step 5: Solve for x
    x = 13,883,313,312.56/57,519.81
  6. Step 6: Final answer
    x = 241,365.78

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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.