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Finding the Third Proportional to 67,076 and 94,012

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Solution

The third proportional to 67,076 and 94,012 is: 131,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,076 : 94,012 = 94,012 : x
  2. Step 2: Convert to fraction form
    67,076/94,012 = 94,012/x
  3. Step 3: Cross multiply
    67,076x = 94,012 × 94,012
  4. Step 4: Simplify right side
    67,076x = 8,838,256,144
  5. Step 5: Solve for x
    x = 8,838,256,144/67,076
  6. Step 6: Final answer
    x = 131,764.81

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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.