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Finding the Third Proportional to 42,099.50 and 92,126

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Solution

The third proportional to 42,099.50 and 92,126 is: 201,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099.50 : 92,126 = 92,126 : x
  2. Step 2: Convert to fraction form
    42,099.50/92,126 = 92,126/x
  3. Step 3: Cross multiply
    42,099.50x = 92,126 × 92,126
  4. Step 4: Simplify right side
    42,099.50x = 8,487,199,876
  5. Step 5: Solve for x
    x = 8,487,199,876/42,099.50
  6. Step 6: Final answer
    x = 201,598.59

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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.