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Finding the Third Proportional to 103,736 and 156,558

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Solution

The third proportional to 103,736 and 156,558 is: 236,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,736 : 156,558 = 156,558 : x
  2. Step 2: Convert to fraction form
    103,736/156,558 = 156,558/x
  3. Step 3: Cross multiply
    103,736x = 156,558 × 156,558
  4. Step 4: Simplify right side
    103,736x = 24,510,407,364
  5. Step 5: Solve for x
    x = 24,510,407,364/103,736
  6. Step 6: Final answer
    x = 236,276.77

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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.