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Finding the Third Proportional to 71,811 and 152,700

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Solution

The third proportional to 71,811 and 152,700 is: 324,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 152,700 = 152,700 : x
  2. Step 2: Convert to fraction form
    71,811/152,700 = 152,700/x
  3. Step 3: Cross multiply
    71,811x = 152,700 × 152,700
  4. Step 4: Simplify right side
    71,811x = 23,317,290,000
  5. Step 5: Solve for x
    x = 23,317,290,000/71,811
  6. Step 6: Final answer
    x = 324,703.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.