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Finding the Third Proportional to 88,649 and 133,064

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Solution

The third proportional to 88,649 and 133,064 is: 199,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,649 : 133,064 = 133,064 : x
  2. Step 2: Convert to fraction form
    88,649/133,064 = 133,064/x
  3. Step 3: Cross multiply
    88,649x = 133,064 × 133,064
  4. Step 4: Simplify right side
    88,649x = 17,706,028,096
  5. Step 5: Solve for x
    x = 17,706,028,096/88,649
  6. Step 6: Final answer
    x = 199,731.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.