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Finding the Third Proportional to 57,131.58 and 132,241.36

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Solution

The third proportional to 57,131.58 and 132,241.36 is: 306,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,131.58 : 132,241.36 = 132,241.36 : x
  2. Step 2: Convert to fraction form
    57,131.58/132,241.36 = 132,241.36/x
  3. Step 3: Cross multiply
    57,131.58x = 132,241.36 × 132,241.36
  4. Step 4: Simplify right side
    57,131.58x = 17,487,777,129.35
  5. Step 5: Solve for x
    x = 17,487,777,129.35/57,131.58
  6. Step 6: Final answer
    x = 306,096.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.