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Finding the Third Proportional to 66,189 and 156,114

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Solution

The third proportional to 66,189 and 156,114 is: 368,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,189 : 156,114 = 156,114 : x
  2. Step 2: Convert to fraction form
    66,189/156,114 = 156,114/x
  3. Step 3: Cross multiply
    66,189x = 156,114 × 156,114
  4. Step 4: Simplify right side
    66,189x = 24,371,580,996
  5. Step 5: Solve for x
    x = 24,371,580,996/66,189
  6. Step 6: Final answer
    x = 368,211.95

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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.