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Finding the Third Proportional to 89,066 and 134,450

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Solution

The third proportional to 89,066 and 134,450 is: 202,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,066 : 134,450 = 134,450 : x
  2. Step 2: Convert to fraction form
    89,066/134,450 = 134,450/x
  3. Step 3: Cross multiply
    89,066x = 134,450 × 134,450
  4. Step 4: Simplify right side
    89,066x = 18,076,802,500
  5. Step 5: Solve for x
    x = 18,076,802,500/89,066
  6. Step 6: Final answer
    x = 202,959.63

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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.