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Finding the Third Proportional to 47,115 and 102,552.75

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Solution

The third proportional to 47,115 and 102,552.75 is: 223,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115 : 102,552.75 = 102,552.75 : x
  2. Step 2: Convert to fraction form
    47,115/102,552.75 = 102,552.75/x
  3. Step 3: Cross multiply
    47,115x = 102,552.75 × 102,552.75
  4. Step 4: Simplify right side
    47,115x = 10,517,066,532.56
  5. Step 5: Solve for x
    x = 10,517,066,532.56/47,115
  6. Step 6: Final answer
    x = 223,221.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.