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Finding the Third Proportional to 47,997.56 and 112,134.38

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Solution

The third proportional to 47,997.56 and 112,134.38 is: 261,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997.56 : 112,134.38 = 112,134.38 : x
  2. Step 2: Convert to fraction form
    47,997.56/112,134.38 = 112,134.38/x
  3. Step 3: Cross multiply
    47,997.56x = 112,134.38 × 112,134.38
  4. Step 4: Simplify right side
    47,997.56x = 12,574,118,056.64
  5. Step 5: Solve for x
    x = 12,574,118,056.64/47,997.56
  6. Step 6: Final answer
    x = 261,974.10

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.