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Finding the Third Proportional to 104,340 and 150,724

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Solution

The third proportional to 104,340 and 150,724 is: 217,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,340 : 150,724 = 150,724 : x
  2. Step 2: Convert to fraction form
    104,340/150,724 = 150,724/x
  3. Step 3: Cross multiply
    104,340x = 150,724 × 150,724
  4. Step 4: Simplify right side
    104,340x = 22,717,724,176
  5. Step 5: Solve for x
    x = 22,717,724,176/104,340
  6. Step 6: Final answer
    x = 217,727.85

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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.