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Finding the Third Proportional to 96,564 and 149,225

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Solution

The third proportional to 96,564 and 149,225 is: 230,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564 : 149,225 = 149,225 : x
  2. Step 2: Convert to fraction form
    96,564/149,225 = 149,225/x
  3. Step 3: Cross multiply
    96,564x = 149,225 × 149,225
  4. Step 4: Simplify right side
    96,564x = 22,268,100,625
  5. Step 5: Solve for x
    x = 22,268,100,625/96,564
  6. Step 6: Final answer
    x = 230,604.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.