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Finding the Third Proportional to 104,636 and 156,540

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Solution

The third proportional to 104,636 and 156,540 is: 234,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,636 : 156,540 = 156,540 : x
  2. Step 2: Convert to fraction form
    104,636/156,540 = 156,540/x
  3. Step 3: Cross multiply
    104,636x = 156,540 × 156,540
  4. Step 4: Simplify right side
    104,636x = 24,504,771,600
  5. Step 5: Solve for x
    x = 24,504,771,600/104,636
  6. Step 6: Final answer
    x = 234,190.64

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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.