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Finding the Third Proportional to 35,188 and 55,086

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Solution

The third proportional to 35,188 and 55,086 is: 86,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188 : 55,086 = 55,086 : x
  2. Step 2: Convert to fraction form
    35,188/55,086 = 55,086/x
  3. Step 3: Cross multiply
    35,188x = 55,086 × 55,086
  4. Step 4: Simplify right side
    35,188x = 3,034,467,396
  5. Step 5: Solve for x
    x = 3,034,467,396/35,188
  6. Step 6: Final answer
    x = 86,235.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.