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Finding the Third Proportional to 89,576 and 136,512

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Solution

The third proportional to 89,576 and 136,512 is: 208,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,576 : 136,512 = 136,512 : x
  2. Step 2: Convert to fraction form
    89,576/136,512 = 136,512/x
  3. Step 3: Cross multiply
    89,576x = 136,512 × 136,512
  4. Step 4: Simplify right side
    89,576x = 18,635,526,144
  5. Step 5: Solve for x
    x = 18,635,526,144/89,576
  6. Step 6: Final answer
    x = 208,041.51

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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.