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Finding the Third Proportional to 71,661 and 156,958.50

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Solution

The third proportional to 71,661 and 156,958.50 is: 343,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661 : 156,958.50 = 156,958.50 : x
  2. Step 2: Convert to fraction form
    71,661/156,958.50 = 156,958.50/x
  3. Step 3: Cross multiply
    71,661x = 156,958.50 × 156,958.50
  4. Step 4: Simplify right side
    71,661x = 24,635,970,722.25
  5. Step 5: Solve for x
    x = 24,635,970,722.25/71,661
  6. Step 6: Final answer
    x = 343,784.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.