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Finding the Third Proportional to 66,558 and 100,108

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Solution

The third proportional to 66,558 and 100,108 is: 150,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,558 : 100,108 = 100,108 : x
  2. Step 2: Convert to fraction form
    66,558/100,108 = 100,108/x
  3. Step 3: Cross multiply
    66,558x = 100,108 × 100,108
  4. Step 4: Simplify right side
    66,558x = 10,021,611,664
  5. Step 5: Solve for x
    x = 10,021,611,664/66,558
  6. Step 6: Final answer
    x = 150,569.60

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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.