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Finding the Third Proportional to 42,145.31 and 90,268.57

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Solution

The third proportional to 42,145.31 and 90,268.57 is: 193,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145.31 : 90,268.57 = 90,268.57 : x
  2. Step 2: Convert to fraction form
    42,145.31/90,268.57 = 90,268.57/x
  3. Step 3: Cross multiply
    42,145.31x = 90,268.57 × 90,268.57
  4. Step 4: Simplify right side
    42,145.31x = 8,148,414,257.34
  5. Step 5: Solve for x
    x = 8,148,414,257.34/42,145.31
  6. Step 6: Final answer
    x = 193,340.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.