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Finding the Third Proportional to 71,777 and 110,176.50

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Solution

The third proportional to 71,777 and 110,176.50 is: 169,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777 : 110,176.50 = 110,176.50 : x
  2. Step 2: Convert to fraction form
    71,777/110,176.50 = 110,176.50/x
  3. Step 3: Cross multiply
    71,777x = 110,176.50 × 110,176.50
  4. Step 4: Simplify right side
    71,777x = 12,138,861,152.25
  5. Step 5: Solve for x
    x = 12,138,861,152.25/71,777
  6. Step 6: Final answer
    x = 169,119.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.