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Finding the Third Proportional to 75,044 and 118,830

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Solution

The third proportional to 75,044 and 118,830 is: 188,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044 : 118,830 = 118,830 : x
  2. Step 2: Convert to fraction form
    75,044/118,830 = 118,830/x
  3. Step 3: Cross multiply
    75,044x = 118,830 × 118,830
  4. Step 4: Simplify right side
    75,044x = 14,120,568,900
  5. Step 5: Solve for x
    x = 14,120,568,900/75,044
  6. Step 6: Final answer
    x = 188,163.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.