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Finding the Third Proportional to 104,424 and 156,180

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Solution

The third proportional to 104,424 and 156,180 is: 233,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,424 : 156,180 = 156,180 : x
  2. Step 2: Convert to fraction form
    104,424/156,180 = 156,180/x
  3. Step 3: Cross multiply
    104,424x = 156,180 × 156,180
  4. Step 4: Simplify right side
    104,424x = 24,392,192,400
  5. Step 5: Solve for x
    x = 24,392,192,400/104,424
  6. Step 6: Final answer
    x = 233,587.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.