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Finding the Third Proportional to 66,604.50 and 142,708.50

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Solution

The third proportional to 66,604.50 and 142,708.50 is: 305,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,604.50 : 142,708.50 = 142,708.50 : x
  2. Step 2: Convert to fraction form
    66,604.50/142,708.50 = 142,708.50/x
  3. Step 3: Cross multiply
    66,604.50x = 142,708.50 × 142,708.50
  4. Step 4: Simplify right side
    66,604.50x = 20,365,715,972.25
  5. Step 5: Solve for x
    x = 20,365,715,972.25/66,604.50
  6. Step 6: Final answer
    x = 305,770.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.