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Finding the Third Proportional to 75,192 and 158,736

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Solution

The third proportional to 75,192 and 158,736 is: 335,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192 : 158,736 = 158,736 : x
  2. Step 2: Convert to fraction form
    75,192/158,736 = 158,736/x
  3. Step 3: Cross multiply
    75,192x = 158,736 × 158,736
  4. Step 4: Simplify right side
    75,192x = 25,197,117,696
  5. Step 5: Solve for x
    x = 25,197,117,696/75,192
  6. Step 6: Final answer
    x = 335,103.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.