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Finding the Third Proportional to 42,455.25 and 92,292.75

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Solution

The third proportional to 42,455.25 and 92,292.75 is: 200,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,455.25 : 92,292.75 = 92,292.75 : x
  2. Step 2: Convert to fraction form
    42,455.25/92,292.75 = 92,292.75/x
  3. Step 3: Cross multiply
    42,455.25x = 92,292.75 × 92,292.75
  4. Step 4: Simplify right side
    42,455.25x = 8,517,951,702.56
  5. Step 5: Solve for x
    x = 8,517,951,702.56/42,455.25
  6. Step 6: Final answer
    x = 200,633.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.