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Finding the Third Proportional to 85,603 and 123,305

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Solution

The third proportional to 85,603 and 123,305 is: 177,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,603 : 123,305 = 123,305 : x
  2. Step 2: Convert to fraction form
    85,603/123,305 = 123,305/x
  3. Step 3: Cross multiply
    85,603x = 123,305 × 123,305
  4. Step 4: Simplify right side
    85,603x = 15,204,123,025
  5. Step 5: Solve for x
    x = 15,204,123,025/85,603
  6. Step 6: Final answer
    x = 177,612.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.