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Finding the Third Proportional to 66,192 and 156,096

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Solution

The third proportional to 66,192 and 156,096 is: 368,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,192 : 156,096 = 156,096 : x
  2. Step 2: Convert to fraction form
    66,192/156,096 = 156,096/x
  3. Step 3: Cross multiply
    66,192x = 156,096 × 156,096
  4. Step 4: Simplify right side
    66,192x = 24,365,961,216
  5. Step 5: Solve for x
    x = 24,365,961,216/66,192
  6. Step 6: Final answer
    x = 368,110.36

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1.5x scale

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.