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Finding the Third Proportional to 68,553 and 150,471

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Solution

The third proportional to 68,553 and 150,471 is: 330,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,553 : 150,471 = 150,471 : x
  2. Step 2: Convert to fraction form
    68,553/150,471 = 150,471/x
  3. Step 3: Cross multiply
    68,553x = 150,471 × 150,471
  4. Step 4: Simplify right side
    68,553x = 22,641,521,841
  5. Step 5: Solve for x
    x = 22,641,521,841/68,553
  6. Step 6: Final answer
    x = 330,277.62

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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.