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Finding the Third Proportional to 104,342 and 150,727

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Solution

The third proportional to 104,342 and 150,727 is: 217,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,342 : 150,727 = 150,727 : x
  2. Step 2: Convert to fraction form
    104,342/150,727 = 150,727/x
  3. Step 3: Cross multiply
    104,342x = 150,727 × 150,727
  4. Step 4: Simplify right side
    104,342x = 22,718,628,529
  5. Step 5: Solve for x
    x = 22,718,628,529/104,342
  6. Step 6: Final answer
    x = 217,732.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.