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Finding the Third Proportional to 88,349 and 135,116

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Solution

The third proportional to 88,349 and 135,116 is: 206,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,349 : 135,116 = 135,116 : x
  2. Step 2: Convert to fraction form
    88,349/135,116 = 135,116/x
  3. Step 3: Cross multiply
    88,349x = 135,116 × 135,116
  4. Step 4: Simplify right side
    88,349x = 18,256,333,456
  5. Step 5: Solve for x
    x = 18,256,333,456/88,349
  6. Step 6: Final answer
    x = 206,638.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.