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Finding the Third Proportional to 57,881.25 and 117,371.25

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Solution

The third proportional to 57,881.25 and 117,371.25 is: 238,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,881.25 : 117,371.25 = 117,371.25 : x
  2. Step 2: Convert to fraction form
    57,881.25/117,371.25 = 117,371.25/x
  3. Step 3: Cross multiply
    57,881.25x = 117,371.25 × 117,371.25
  4. Step 4: Simplify right side
    57,881.25x = 13,776,010,326.56
  5. Step 5: Solve for x
    x = 13,776,010,326.56/57,881.25
  6. Step 6: Final answer
    x = 238,004.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.