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Finding the Third Proportional to 63,082 and 101,631

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Solution

The third proportional to 63,082 and 101,631 is: 163,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,082 : 101,631 = 101,631 : x
  2. Step 2: Convert to fraction form
    63,082/101,631 = 101,631/x
  3. Step 3: Cross multiply
    63,082x = 101,631 × 101,631
  4. Step 4: Simplify right side
    63,082x = 10,328,860,161
  5. Step 5: Solve for x
    x = 10,328,860,161/63,082
  6. Step 6: Final answer
    x = 163,737.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.