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Finding the Third Proportional to 71,409.09 and 169,181.16

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Solution

The third proportional to 71,409.09 and 169,181.16 is: 400,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.09 : 169,181.16 = 169,181.16 : x
  2. Step 2: Convert to fraction form
    71,409.09/169,181.16 = 169,181.16/x
  3. Step 3: Cross multiply
    71,409.09x = 169,181.16 × 169,181.16
  4. Step 4: Simplify right side
    71,409.09x = 28,622,263,630.09
  5. Step 5: Solve for x
    x = 28,622,263,630.09/71,409.09
  6. Step 6: Final answer
    x = 400,820.99

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.