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Finding the Third Proportional to 66,516.50 and 144,105

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Solution

The third proportional to 66,516.50 and 144,105 is: 312,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,516.50 : 144,105 = 144,105 : x
  2. Step 2: Convert to fraction form
    66,516.50/144,105 = 144,105/x
  3. Step 3: Cross multiply
    66,516.50x = 144,105 × 144,105
  4. Step 4: Simplify right side
    66,516.50x = 20,766,251,025
  5. Step 5: Solve for x
    x = 20,766,251,025/66,516.50
  6. Step 6: Final answer
    x = 312,196.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.