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Finding the Third Proportional to 73,909 and 156,640

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Solution

The third proportional to 73,909 and 156,640 is: 331,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909 : 156,640 = 156,640 : x
  2. Step 2: Convert to fraction form
    73,909/156,640 = 156,640/x
  3. Step 3: Cross multiply
    73,909x = 156,640 × 156,640
  4. Step 4: Simplify right side
    73,909x = 24,536,089,600
  5. Step 5: Solve for x
    x = 24,536,089,600/73,909
  6. Step 6: Final answer
    x = 331,977.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.