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Finding the Third Proportional to 65,048 and 95,086

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Solution

The third proportional to 65,048 and 95,086 is: 138,995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048 : 95,086 = 95,086 : x
  2. Step 2: Convert to fraction form
    65,048/95,086 = 95,086/x
  3. Step 3: Cross multiply
    65,048x = 95,086 × 95,086
  4. Step 4: Simplify right side
    65,048x = 9,041,347,396
  5. Step 5: Solve for x
    x = 9,041,347,396/65,048
  6. Step 6: Final answer
    x = 138,995.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.