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Finding the Third Proportional to 114,680 and 175,027

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Solution

The third proportional to 114,680 and 175,027 is: 267,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,680 : 175,027 = 175,027 : x
  2. Step 2: Convert to fraction form
    114,680/175,027 = 175,027/x
  3. Step 3: Cross multiply
    114,680x = 175,027 × 175,027
  4. Step 4: Simplify right side
    114,680x = 30,634,450,729
  5. Step 5: Solve for x
    x = 30,634,450,729/114,680
  6. Step 6: Final answer
    x = 267,129.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.