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Finding the Third Proportional to 103,786 and 156,631

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Solution

The third proportional to 103,786 and 156,631 is: 236,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,786 : 156,631 = 156,631 : x
  2. Step 2: Convert to fraction form
    103,786/156,631 = 156,631/x
  3. Step 3: Cross multiply
    103,786x = 156,631 × 156,631
  4. Step 4: Simplify right side
    103,786x = 24,533,270,161
  5. Step 5: Solve for x
    x = 24,533,270,161/103,786
  6. Step 6: Final answer
    x = 236,383.23

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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.