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Finding the Third Proportional to 130,037 and 204,041

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Solution

The third proportional to 130,037 and 204,041 is: 320,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,037 : 204,041 = 204,041 : x
  2. Step 2: Convert to fraction form
    130,037/204,041 = 204,041/x
  3. Step 3: Cross multiply
    130,037x = 204,041 × 204,041
  4. Step 4: Simplify right side
    130,037x = 41,632,729,681
  5. Step 5: Solve for x
    x = 41,632,729,681/130,037
  6. Step 6: Final answer
    x = 320,160.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.