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Finding the Third Proportional to 129,169.69 and 142,906.78

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Solution

The third proportional to 129,169.69 and 142,906.78 is: 158,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,169.69 : 142,906.78 = 142,906.78 : x
  2. Step 2: Convert to fraction form
    129,169.69/142,906.78 = 142,906.78/x
  3. Step 3: Cross multiply
    129,169.69x = 142,906.78 × 142,906.78
  4. Step 4: Simplify right side
    129,169.69x = 20,422,348,127.24
  5. Step 5: Solve for x
    x = 20,422,348,127.24/129,169.69
  6. Step 6: Final answer
    x = 158,104.80

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.