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Finding the Third Proportional to 57,986 and 88,194

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Solution

The third proportional to 57,986 and 88,194 is: 134,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,986 : 88,194 = 88,194 : x
  2. Step 2: Convert to fraction form
    57,986/88,194 = 88,194/x
  3. Step 3: Cross multiply
    57,986x = 88,194 × 88,194
  4. Step 4: Simplify right side
    57,986x = 7,778,181,636
  5. Step 5: Solve for x
    x = 7,778,181,636/57,986
  6. Step 6: Final answer
    x = 134,138.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.