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Finding the Third Proportional to 66,147.05 and 144,960.05

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Solution

The third proportional to 66,147.05 and 144,960.05 is: 317,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,147.05 : 144,960.05 = 144,960.05 : x
  2. Step 2: Convert to fraction form
    66,147.05/144,960.05 = 144,960.05/x
  3. Step 3: Cross multiply
    66,147.05x = 144,960.05 × 144,960.05
  4. Step 4: Simplify right side
    66,147.05x = 21,013,415,190.00
  5. Step 5: Solve for x
    x = 21,013,415,190.00/66,147.05
  6. Step 6: Final answer
    x = 317,677.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.