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Finding the Third Proportional to 78,041 and 170,950

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Solution

The third proportional to 78,041 and 170,950 is: 374,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041 : 170,950 = 170,950 : x
  2. Step 2: Convert to fraction form
    78,041/170,950 = 170,950/x
  3. Step 3: Cross multiply
    78,041x = 170,950 × 170,950
  4. Step 4: Simplify right side
    78,041x = 29,223,902,500
  5. Step 5: Solve for x
    x = 29,223,902,500/78,041
  6. Step 6: Final answer
    x = 374,468.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.