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Finding the Third Proportional to 132,611.81 and 271,351.69

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Solution

The third proportional to 132,611.81 and 271,351.69 is: 555,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,611.81 : 271,351.69 = 271,351.69 : x
  2. Step 2: Convert to fraction form
    132,611.81/271,351.69 = 271,351.69/x
  3. Step 3: Cross multiply
    132,611.81x = 271,351.69 × 271,351.69
  4. Step 4: Simplify right side
    132,611.81x = 73,631,738,309.10
  5. Step 5: Solve for x
    x = 73,631,738,309.10/132,611.81
  6. Step 6: Final answer
    x = 555,242.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.