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Finding the Third Proportional to 69,079.50 and 144,415.50

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Solution

The third proportional to 69,079.50 and 144,415.50 is: 301,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,079.50 : 144,415.50 = 144,415.50 : x
  2. Step 2: Convert to fraction form
    69,079.50/144,415.50 = 144,415.50/x
  3. Step 3: Cross multiply
    69,079.50x = 144,415.50 × 144,415.50
  4. Step 4: Simplify right side
    69,079.50x = 20,855,836,640.25
  5. Step 5: Solve for x
    x = 20,855,836,640.25/69,079.50
  6. Step 6: Final answer
    x = 301,910.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.