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Finding the Third Proportional to 60,972 and 131,664

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Solution

The third proportional to 60,972 and 131,664 is: 284,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,972 : 131,664 = 131,664 : x
  2. Step 2: Convert to fraction form
    60,972/131,664 = 131,664/x
  3. Step 3: Cross multiply
    60,972x = 131,664 × 131,664
  4. Step 4: Simplify right side
    60,972x = 17,335,408,896
  5. Step 5: Solve for x
    x = 17,335,408,896/60,972
  6. Step 6: Final answer
    x = 284,317.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.