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Finding the Third Proportional to 66,082 and 100,671

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Solution

The third proportional to 66,082 and 100,671 is: 153,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,082 : 100,671 = 100,671 : x
  2. Step 2: Convert to fraction form
    66,082/100,671 = 100,671/x
  3. Step 3: Cross multiply
    66,082x = 100,671 × 100,671
  4. Step 4: Simplify right side
    66,082x = 10,134,650,241
  5. Step 5: Solve for x
    x = 10,134,650,241/66,082
  6. Step 6: Final answer
    x = 153,364.76

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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.