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Finding the Third Proportional to 66,213.25 and 144,805.25

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Solution

The third proportional to 66,213.25 and 144,805.25 is: 316,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,213.25 : 144,805.25 = 144,805.25 : x
  2. Step 2: Convert to fraction form
    66,213.25/144,805.25 = 144,805.25/x
  3. Step 3: Cross multiply
    66,213.25x = 144,805.25 × 144,805.25
  4. Step 4: Simplify right side
    66,213.25x = 20,968,560,427.56
  5. Step 5: Solve for x
    x = 20,968,560,427.56/66,213.25
  6. Step 6: Final answer
    x = 316,682.24

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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.