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Finding the Third Proportional to 66,467 and 144,052

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Solution

The third proportional to 66,467 and 144,052 is: 312,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467 : 144,052 = 144,052 : x
  2. Step 2: Convert to fraction form
    66,467/144,052 = 144,052/x
  3. Step 3: Cross multiply
    66,467x = 144,052 × 144,052
  4. Step 4: Simplify right side
    66,467x = 20,750,978,704
  5. Step 5: Solve for x
    x = 20,750,978,704/66,467
  6. Step 6: Final answer
    x = 312,199.72

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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.