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Finding the Third Proportional to 67,116 and 94,082

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Solution

The third proportional to 67,116 and 94,082 is: 131,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,116 : 94,082 = 94,082 : x
  2. Step 2: Convert to fraction form
    67,116/94,082 = 94,082/x
  3. Step 3: Cross multiply
    67,116x = 94,082 × 94,082
  4. Step 4: Simplify right side
    67,116x = 8,851,422,724
  5. Step 5: Solve for x
    x = 8,851,422,724/67,116
  6. Step 6: Final answer
    x = 131,882.45

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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.