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Finding the Third Proportional to 88,626 and 136,225

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Solution

The third proportional to 88,626 and 136,225 is: 209,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,626 : 136,225 = 136,225 : x
  2. Step 2: Convert to fraction form
    88,626/136,225 = 136,225/x
  3. Step 3: Cross multiply
    88,626x = 136,225 × 136,225
  4. Step 4: Simplify right side
    88,626x = 18,557,250,625
  5. Step 5: Solve for x
    x = 18,557,250,625/88,626
  6. Step 6: Final answer
    x = 209,388.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.