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Finding the Third Proportional to 66,694.50 and 101,735.63

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Solution

The third proportional to 66,694.50 and 101,735.63 is: 155,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,694.50 : 101,735.63 = 101,735.63 : x
  2. Step 2: Convert to fraction form
    66,694.50/101,735.63 = 101,735.63/x
  3. Step 3: Cross multiply
    66,694.50x = 101,735.63 × 101,735.63
  4. Step 4: Simplify right side
    66,694.50x = 10,350,137,394.14
  5. Step 5: Solve for x
    x = 10,350,137,394.14/66,694.50
  6. Step 6: Final answer
    x = 155,187.27

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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.