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Finding the Third Proportional to 114,530 and 173,050

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Solution

The third proportional to 114,530 and 173,050 is: 261,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530 : 173,050 = 173,050 : x
  2. Step 2: Convert to fraction form
    114,530/173,050 = 173,050/x
  3. Step 3: Cross multiply
    114,530x = 173,050 × 173,050
  4. Step 4: Simplify right side
    114,530x = 29,946,302,500
  5. Step 5: Solve for x
    x = 29,946,302,500/114,530
  6. Step 6: Final answer
    x = 261,471.25

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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.