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Finding the Third Proportional to 66,467 and 101,213

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Solution

The third proportional to 66,467 and 101,213 is: 154,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467 : 101,213 = 101,213 : x
  2. Step 2: Convert to fraction form
    66,467/101,213 = 101,213/x
  3. Step 3: Cross multiply
    66,467x = 101,213 × 101,213
  4. Step 4: Simplify right side
    66,467x = 10,244,071,369
  5. Step 5: Solve for x
    x = 10,244,071,369/66,467
  6. Step 6: Final answer
    x = 154,122.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.