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Finding the Third Proportional to 141,104 and 188,111

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Solution

The third proportional to 141,104 and 188,111 is: 250,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,104 : 188,111 = 188,111 : x
  2. Step 2: Convert to fraction form
    141,104/188,111 = 188,111/x
  3. Step 3: Cross multiply
    141,104x = 188,111 × 188,111
  4. Step 4: Simplify right side
    141,104x = 35,385,748,321
  5. Step 5: Solve for x
    x = 35,385,748,321/141,104
  6. Step 6: Final answer
    x = 250,777.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.