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Finding the Third Proportional to 89,133.75 and 135,344.25

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Solution

The third proportional to 89,133.75 and 135,344.25 is: 205,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,133.75 : 135,344.25 = 135,344.25 : x
  2. Step 2: Convert to fraction form
    89,133.75/135,344.25 = 135,344.25/x
  3. Step 3: Cross multiply
    89,133.75x = 135,344.25 × 135,344.25
  4. Step 4: Simplify right side
    89,133.75x = 18,318,066,008.06
  5. Step 5: Solve for x
    x = 18,318,066,008.06/89,133.75
  6. Step 6: Final answer
    x = 205,512.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.