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Finding the Third Proportional to 47,121.75 and 102,537.75

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Solution

The third proportional to 47,121.75 and 102,537.75 is: 223,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,121.75 : 102,537.75 = 102,537.75 : x
  2. Step 2: Convert to fraction form
    47,121.75/102,537.75 = 102,537.75/x
  3. Step 3: Cross multiply
    47,121.75x = 102,537.75 × 102,537.75
  4. Step 4: Simplify right side
    47,121.75x = 10,513,990,175.06
  5. Step 5: Solve for x
    x = 10,513,990,175.06/47,121.75
  6. Step 6: Final answer
    x = 223,123.93

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