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Finding the Third Proportional to 89,287 and 135,083

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Solution

The third proportional to 89,287 and 135,083 is: 204,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,287 : 135,083 = 135,083 : x
  2. Step 2: Convert to fraction form
    89,287/135,083 = 135,083/x
  3. Step 3: Cross multiply
    89,287x = 135,083 × 135,083
  4. Step 4: Simplify right side
    89,287x = 18,247,416,889
  5. Step 5: Solve for x
    x = 18,247,416,889/89,287
  6. Step 6: Final answer
    x = 204,368.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.