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Finding the Third Proportional to 66,729 and 145,104

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Solution

The third proportional to 66,729 and 145,104 is: 315,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,729 : 145,104 = 145,104 : x
  2. Step 2: Convert to fraction form
    66,729/145,104 = 145,104/x
  3. Step 3: Cross multiply
    66,729x = 145,104 × 145,104
  4. Step 4: Simplify right side
    66,729x = 21,055,170,816
  5. Step 5: Solve for x
    x = 21,055,170,816/66,729
  6. Step 6: Final answer
    x = 315,532.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.