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Finding the Third Proportional to 130,136 and 271,568

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Solution

The third proportional to 130,136 and 271,568 is: 566,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,136 : 271,568 = 271,568 : x
  2. Step 2: Convert to fraction form
    130,136/271,568 = 271,568/x
  3. Step 3: Cross multiply
    130,136x = 271,568 × 271,568
  4. Step 4: Simplify right side
    130,136x = 73,749,178,624
  5. Step 5: Solve for x
    x = 73,749,178,624/130,136
  6. Step 6: Final answer
    x = 566,708.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.