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Finding the Third Proportional to 66,468 and 146,112

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Solution

The third proportional to 66,468 and 146,112 is: 321,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,468 : 146,112 = 146,112 : x
  2. Step 2: Convert to fraction form
    66,468/146,112 = 146,112/x
  3. Step 3: Cross multiply
    66,468x = 146,112 × 146,112
  4. Step 4: Simplify right side
    66,468x = 21,348,716,544
  5. Step 5: Solve for x
    x = 21,348,716,544/66,468
  6. Step 6: Final answer
    x = 321,187.89

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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.