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Finding the Third Proportional to 52,161.47 and 100,167.26

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Solution

The third proportional to 52,161.47 and 100,167.26 is: 192,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,161.47 : 100,167.26 = 100,167.26 : x
  2. Step 2: Convert to fraction form
    52,161.47/100,167.26 = 100,167.26/x
  3. Step 3: Cross multiply
    52,161.47x = 100,167.26 × 100,167.26
  4. Step 4: Simplify right side
    52,161.47x = 10,033,479,537.68
  5. Step 5: Solve for x
    x = 10,033,479,537.68/52,161.47
  6. Step 6: Final answer
    x = 192,354.24

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.