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Finding the Third Proportional to 68,041 and 147,731

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Solution

The third proportional to 68,041 and 147,731 is: 320,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,041 : 147,731 = 147,731 : x
  2. Step 2: Convert to fraction form
    68,041/147,731 = 147,731/x
  3. Step 3: Cross multiply
    68,041x = 147,731 × 147,731
  4. Step 4: Simplify right side
    68,041x = 21,824,448,361
  5. Step 5: Solve for x
    x = 21,824,448,361/68,041
  6. Step 6: Final answer
    x = 320,754.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.