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Finding the Third Proportional to 42,851.75 and 92,288.50

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Solution

The third proportional to 42,851.75 and 92,288.50 is: 198,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.75 : 92,288.50 = 92,288.50 : x
  2. Step 2: Convert to fraction form
    42,851.75/92,288.50 = 92,288.50/x
  3. Step 3: Cross multiply
    42,851.75x = 92,288.50 × 92,288.50
  4. Step 4: Simplify right side
    42,851.75x = 8,517,167,232.25
  5. Step 5: Solve for x
    x = 8,517,167,232.25/42,851.75
  6. Step 6: Final answer
    x = 198,758.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.