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Finding the Third Proportional to 90,462 and 132,980

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Solution

The third proportional to 90,462 and 132,980 is: 195,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462 : 132,980 = 132,980 : x
  2. Step 2: Convert to fraction form
    90,462/132,980 = 132,980/x
  3. Step 3: Cross multiply
    90,462x = 132,980 × 132,980
  4. Step 4: Simplify right side
    90,462x = 17,683,680,400
  5. Step 5: Solve for x
    x = 17,683,680,400/90,462
  6. Step 6: Final answer
    x = 195,481.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.