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Finding the Third Proportional to 67,692 and 156,014

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Solution

The third proportional to 67,692 and 156,014 is: 359,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692 : 156,014 = 156,014 : x
  2. Step 2: Convert to fraction form
    67,692/156,014 = 156,014/x
  3. Step 3: Cross multiply
    67,692x = 156,014 × 156,014
  4. Step 4: Simplify right side
    67,692x = 24,340,368,196
  5. Step 5: Solve for x
    x = 24,340,368,196/67,692
  6. Step 6: Final answer
    x = 359,575.26

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.