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Finding the Third Proportional to 67,903.31 and 159,787.69

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Solution

The third proportional to 67,903.31 and 159,787.69 is: 376,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,903.31 : 159,787.69 = 159,787.69 : x
  2. Step 2: Convert to fraction form
    67,903.31/159,787.69 = 159,787.69/x
  3. Step 3: Cross multiply
    67,903.31x = 159,787.69 × 159,787.69
  4. Step 4: Simplify right side
    67,903.31x = 25,532,105,076.60
  5. Step 5: Solve for x
    x = 25,532,105,076.60/67,903.31
  6. Step 6: Final answer
    x = 376,006.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.