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Finding the Third Proportional to 52,007.70 and 111,916.69

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Solution

The third proportional to 52,007.70 and 111,916.69 is: 240,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.70 : 111,916.69 = 111,916.69 : x
  2. Step 2: Convert to fraction form
    52,007.70/111,916.69 = 111,916.69/x
  3. Step 3: Cross multiply
    52,007.70x = 111,916.69 × 111,916.69
  4. Step 4: Simplify right side
    52,007.70x = 12,525,344,940.97
  5. Step 5: Solve for x
    x = 12,525,344,940.97/52,007.70
  6. Step 6: Final answer
    x = 240,836.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.