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Finding the Third Proportional to 57,986 and 87,555

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Solution

The third proportional to 57,986 and 87,555 is: 132,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,986 : 87,555 = 87,555 : x
  2. Step 2: Convert to fraction form
    57,986/87,555 = 87,555/x
  3. Step 3: Cross multiply
    57,986x = 87,555 × 87,555
  4. Step 4: Simplify right side
    57,986x = 7,665,878,025
  5. Step 5: Solve for x
    x = 7,665,878,025/57,986
  6. Step 6: Final answer
    x = 132,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.