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Finding the Third Proportional to 47,553.75 and 112,459.31

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Solution

The third proportional to 47,553.75 and 112,459.31 is: 265,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,553.75 : 112,459.31 = 112,459.31 : x
  2. Step 2: Convert to fraction form
    47,553.75/112,459.31 = 112,459.31/x
  3. Step 3: Cross multiply
    47,553.75x = 112,459.31 × 112,459.31
  4. Step 4: Simplify right side
    47,553.75x = 12,647,096,967.97
  5. Step 5: Solve for x
    x = 12,647,096,967.97/47,553.75
  6. Step 6: Final answer
    x = 265,953.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.