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Finding the Third Proportional to 85,050 and 182,736

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Solution

The third proportional to 85,050 and 182,736 is: 392,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,050 : 182,736 = 182,736 : x
  2. Step 2: Convert to fraction form
    85,050/182,736 = 182,736/x
  3. Step 3: Cross multiply
    85,050x = 182,736 × 182,736
  4. Step 4: Simplify right side
    85,050x = 33,392,445,696
  5. Step 5: Solve for x
    x = 33,392,445,696/85,050
  6. Step 6: Final answer
    x = 392,621.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.