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Finding the Third Proportional to 66,274 and 143,848

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Solution

The third proportional to 66,274 and 143,848 is: 312,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,274 : 143,848 = 143,848 : x
  2. Step 2: Convert to fraction form
    66,274/143,848 = 143,848/x
  3. Step 3: Cross multiply
    66,274x = 143,848 × 143,848
  4. Step 4: Simplify right side
    66,274x = 20,692,247,104
  5. Step 5: Solve for x
    x = 20,692,247,104/66,274
  6. Step 6: Final answer
    x = 312,222.70

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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.