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Finding the Third Proportional to 103,612 and 156,228

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Solution

The third proportional to 103,612 and 156,228 is: 235,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 156,228 = 156,228 : x
  2. Step 2: Convert to fraction form
    103,612/156,228 = 156,228/x
  3. Step 3: Cross multiply
    103,612x = 156,228 × 156,228
  4. Step 4: Simplify right side
    103,612x = 24,407,187,984
  5. Step 5: Solve for x
    x = 24,407,187,984/103,612
  6. Step 6: Final answer
    x = 235,563.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.