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Finding the Third Proportional to 65,986 and 145,093

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Solution

The third proportional to 65,986 and 145,093 is: 319,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986 : 145,093 = 145,093 : x
  2. Step 2: Convert to fraction form
    65,986/145,093 = 145,093/x
  3. Step 3: Cross multiply
    65,986x = 145,093 × 145,093
  4. Step 4: Simplify right side
    65,986x = 21,051,978,649
  5. Step 5: Solve for x
    x = 21,051,978,649/65,986
  6. Step 6: Final answer
    x = 319,037.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.