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Finding the Third Proportional to 67,116 and 94,064

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Solution

The third proportional to 67,116 and 94,064 is: 131,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,116 : 94,064 = 94,064 : x
  2. Step 2: Convert to fraction form
    67,116/94,064 = 94,064/x
  3. Step 3: Cross multiply
    67,116x = 94,064 × 94,064
  4. Step 4: Simplify right side
    67,116x = 8,848,036,096
  5. Step 5: Solve for x
    x = 8,848,036,096/67,116
  6. Step 6: Final answer
    x = 131,831.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.