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Finding the Third Proportional to 66,793.50 and 143,955

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Solution

The third proportional to 66,793.50 and 143,955 is: 310,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,793.50 : 143,955 = 143,955 : x
  2. Step 2: Convert to fraction form
    66,793.50/143,955 = 143,955/x
  3. Step 3: Cross multiply
    66,793.50x = 143,955 × 143,955
  4. Step 4: Simplify right side
    66,793.50x = 20,723,042,025
  5. Step 5: Solve for x
    x = 20,723,042,025/66,793.50
  6. Step 6: Final answer
    x = 310,255.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.