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Finding the Third Proportional to 92,441 and 132,099.50

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Solution

The third proportional to 92,441 and 132,099.50 is: 188,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,441 : 132,099.50 = 132,099.50 : x
  2. Step 2: Convert to fraction form
    92,441/132,099.50 = 132,099.50/x
  3. Step 3: Cross multiply
    92,441x = 132,099.50 × 132,099.50
  4. Step 4: Simplify right side
    92,441x = 17,450,277,900.25
  5. Step 5: Solve for x
    x = 17,450,277,900.25/92,441
  6. Step 6: Final answer
    x = 188,772.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.