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Finding the Third Proportional to 106,568 and 153,959

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Solution

The third proportional to 106,568 and 153,959 is: 222,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568 : 153,959 = 153,959 : x
  2. Step 2: Convert to fraction form
    106,568/153,959 = 153,959/x
  3. Step 3: Cross multiply
    106,568x = 153,959 × 153,959
  4. Step 4: Simplify right side
    106,568x = 23,703,373,681
  5. Step 5: Solve for x
    x = 23,703,373,681/106,568
  6. Step 6: Final answer
    x = 222,424.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.