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Finding the Third Proportional to 69,817.50 and 150,705

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Solution

The third proportional to 69,817.50 and 150,705 is: 325,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,817.50 : 150,705 = 150,705 : x
  2. Step 2: Convert to fraction form
    69,817.50/150,705 = 150,705/x
  3. Step 3: Cross multiply
    69,817.50x = 150,705 × 150,705
  4. Step 4: Simplify right side
    69,817.50x = 22,711,997,025
  5. Step 5: Solve for x
    x = 22,711,997,025/69,817.50
  6. Step 6: Final answer
    x = 325,305.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.