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Finding the Third Proportional to 66,136.50 and 156,093.75

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Solution

The third proportional to 66,136.50 and 156,093.75 is: 368,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,136.50 : 156,093.75 = 156,093.75 : x
  2. Step 2: Convert to fraction form
    66,136.50/156,093.75 = 156,093.75/x
  3. Step 3: Cross multiply
    66,136.50x = 156,093.75 × 156,093.75
  4. Step 4: Simplify right side
    66,136.50x = 24,365,258,789.06
  5. Step 5: Solve for x
    x = 24,365,258,789.06/66,136.50
  6. Step 6: Final answer
    x = 368,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.