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Finding the Third Proportional to 66,165.75 and 144,227.25

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Solution

The third proportional to 66,165.75 and 144,227.25 is: 314,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,165.75 : 144,227.25 = 144,227.25 : x
  2. Step 2: Convert to fraction form
    66,165.75/144,227.25 = 144,227.25/x
  3. Step 3: Cross multiply
    66,165.75x = 144,227.25 × 144,227.25
  4. Step 4: Simplify right side
    66,165.75x = 20,801,499,642.56
  5. Step 5: Solve for x
    x = 20,801,499,642.56/66,165.75
  6. Step 6: Final answer
    x = 314,384.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.