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Finding the Third Proportional to 67,053.75 and 144,996.75

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Solution

The third proportional to 67,053.75 and 144,996.75 is: 313,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,053.75 : 144,996.75 = 144,996.75 : x
  2. Step 2: Convert to fraction form
    67,053.75/144,996.75 = 144,996.75/x
  3. Step 3: Cross multiply
    67,053.75x = 144,996.75 × 144,996.75
  4. Step 4: Simplify right side
    67,053.75x = 21,024,057,510.56
  5. Step 5: Solve for x
    x = 21,024,057,510.56/67,053.75
  6. Step 6: Final answer
    x = 313,540.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.