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Finding the Third Proportional to 114,395 and 173,925

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Solution

The third proportional to 114,395 and 173,925 is: 264,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,395 : 173,925 = 173,925 : x
  2. Step 2: Convert to fraction form
    114,395/173,925 = 173,925/x
  3. Step 3: Cross multiply
    114,395x = 173,925 × 173,925
  4. Step 4: Simplify right side
    114,395x = 30,249,905,625
  5. Step 5: Solve for x
    x = 30,249,905,625/114,395
  6. Step 6: Final answer
    x = 264,433.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.