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Finding the Third Proportional to 47,606.06 and 112,787.44

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Solution

The third proportional to 47,606.06 and 112,787.44 is: 267,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,606.06 : 112,787.44 = 112,787.44 : x
  2. Step 2: Convert to fraction form
    47,606.06/112,787.44 = 112,787.44/x
  3. Step 3: Cross multiply
    47,606.06x = 112,787.44 × 112,787.44
  4. Step 4: Simplify right side
    47,606.06x = 12,721,006,057.82
  5. Step 5: Solve for x
    x = 12,721,006,057.82/47,606.06
  6. Step 6: Final answer
    x = 267,213.99

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.