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Finding the Third Proportional to 52,106.50 and 106,055

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Solution

The third proportional to 52,106.50 and 106,055 is: 215,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.50 : 106,055 = 106,055 : x
  2. Step 2: Convert to fraction form
    52,106.50/106,055 = 106,055/x
  3. Step 3: Cross multiply
    52,106.50x = 106,055 × 106,055
  4. Step 4: Simplify right side
    52,106.50x = 11,247,663,025
  5. Step 5: Solve for x
    x = 11,247,663,025/52,106.50
  6. Step 6: Final answer
    x = 215,859.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.