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Finding the Third Proportional to 89,218.50 and 128,238

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Solution

The third proportional to 89,218.50 and 128,238 is: 184,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,218.50 : 128,238 = 128,238 : x
  2. Step 2: Convert to fraction form
    89,218.50/128,238 = 128,238/x
  3. Step 3: Cross multiply
    89,218.50x = 128,238 × 128,238
  4. Step 4: Simplify right side
    89,218.50x = 16,444,984,644
  5. Step 5: Solve for x
    x = 16,444,984,644/89,218.50
  6. Step 6: Final answer
    x = 184,322.59

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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.