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Finding the Third Proportional to 66,464 and 146,104

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Solution

The third proportional to 66,464 and 146,104 is: 321,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,464 : 146,104 = 146,104 : x
  2. Step 2: Convert to fraction form
    66,464/146,104 = 146,104/x
  3. Step 3: Cross multiply
    66,464x = 146,104 × 146,104
  4. Step 4: Simplify right side
    66,464x = 21,346,378,816
  5. Step 5: Solve for x
    x = 21,346,378,816/66,464
  6. Step 6: Final answer
    x = 321,172.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.