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Finding the Third Proportional to 71,811 and 156,506

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Solution

The third proportional to 71,811 and 156,506 is: 341,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 156,506 = 156,506 : x
  2. Step 2: Convert to fraction form
    71,811/156,506 = 156,506/x
  3. Step 3: Cross multiply
    71,811x = 156,506 × 156,506
  4. Step 4: Simplify right side
    71,811x = 24,494,128,036
  5. Step 5: Solve for x
    x = 24,494,128,036/71,811
  6. Step 6: Final answer
    x = 341,091.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.