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Finding the Third Proportional to 42,254.25 and 85,674.75

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Solution

The third proportional to 42,254.25 and 85,674.75 is: 173,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,254.25 : 85,674.75 = 85,674.75 : x
  2. Step 2: Convert to fraction form
    42,254.25/85,674.75 = 85,674.75/x
  3. Step 3: Cross multiply
    42,254.25x = 85,674.75 × 85,674.75
  4. Step 4: Simplify right side
    42,254.25x = 7,340,162,787.56
  5. Step 5: Solve for x
    x = 7,340,162,787.56/42,254.25
  6. Step 6: Final answer
    x = 173,714.19

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.