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Finding the Third Proportional to 115,008 and 154,568

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Solution

The third proportional to 115,008 and 154,568 is: 207,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,008 : 154,568 = 154,568 : x
  2. Step 2: Convert to fraction form
    115,008/154,568 = 154,568/x
  3. Step 3: Cross multiply
    115,008x = 154,568 × 154,568
  4. Step 4: Simplify right side
    115,008x = 23,891,266,624
  5. Step 5: Solve for x
    x = 23,891,266,624/115,008
  6. Step 6: Final answer
    x = 207,735.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.