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Finding the Third Proportional to 60,072 and 91,404

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Solution

The third proportional to 60,072 and 91,404 is: 139,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,072 : 91,404 = 91,404 : x
  2. Step 2: Convert to fraction form
    60,072/91,404 = 91,404/x
  3. Step 3: Cross multiply
    60,072x = 91,404 × 91,404
  4. Step 4: Simplify right side
    60,072x = 8,354,691,216
  5. Step 5: Solve for x
    x = 8,354,691,216/60,072
  6. Step 6: Final answer
    x = 139,077.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.