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Finding the Third Proportional to 42,099.75 and 92,112.75

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Solution

The third proportional to 42,099.75 and 92,112.75 is: 201,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099.75 : 92,112.75 = 92,112.75 : x
  2. Step 2: Convert to fraction form
    42,099.75/92,112.75 = 92,112.75/x
  3. Step 3: Cross multiply
    42,099.75x = 92,112.75 × 92,112.75
  4. Step 4: Simplify right side
    42,099.75x = 8,484,758,712.56
  5. Step 5: Solve for x
    x = 8,484,758,712.56/42,099.75
  6. Step 6: Final answer
    x = 201,539.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.