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Finding the Third Proportional to 114,277.50 and 173,964.38

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Solution

The third proportional to 114,277.50 and 173,964.38 is: 264,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,277.50 : 173,964.38 = 173,964.38 : x
  2. Step 2: Convert to fraction form
    114,277.50/173,964.38 = 173,964.38/x
  3. Step 3: Cross multiply
    114,277.50x = 173,964.38 × 173,964.38
  4. Step 4: Simplify right side
    114,277.50x = 30,263,603,769.14
  5. Step 5: Solve for x
    x = 30,263,603,769.14/114,277.50
  6. Step 6: Final answer
    x = 264,825.57

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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.