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Finding the Third Proportional to 52,229.81 and 113,891.06

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Solution

The third proportional to 52,229.81 and 113,891.06 is: 248,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,229.81 : 113,891.06 = 113,891.06 : x
  2. Step 2: Convert to fraction form
    52,229.81/113,891.06 = 113,891.06/x
  3. Step 3: Cross multiply
    52,229.81x = 113,891.06 × 113,891.06
  4. Step 4: Simplify right side
    52,229.81x = 12,971,174,117.38
  5. Step 5: Solve for x
    x = 12,971,174,117.38/52,229.81
  6. Step 6: Final answer
    x = 248,348.09

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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.