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Finding the Third Proportional to 115,722 and 174,825

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Solution

The third proportional to 115,722 and 174,825 is: 264,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,722 : 174,825 = 174,825 : x
  2. Step 2: Convert to fraction form
    115,722/174,825 = 174,825/x
  3. Step 3: Cross multiply
    115,722x = 174,825 × 174,825
  4. Step 4: Simplify right side
    115,722x = 30,563,780,625
  5. Step 5: Solve for x
    x = 30,563,780,625/115,722
  6. Step 6: Final answer
    x = 264,113.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.