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Finding the Third Proportional to 75,568 and 111,044

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Solution

The third proportional to 75,568 and 111,044 is: 163,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568 : 111,044 = 111,044 : x
  2. Step 2: Convert to fraction form
    75,568/111,044 = 111,044/x
  3. Step 3: Cross multiply
    75,568x = 111,044 × 111,044
  4. Step 4: Simplify right side
    75,568x = 12,330,769,936
  5. Step 5: Solve for x
    x = 12,330,769,936/75,568
  6. Step 6: Final answer
    x = 163,174.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.