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Finding the Third Proportional to 65,919 and 104,807

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Solution

The third proportional to 65,919 and 104,807 is: 166,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,919 : 104,807 = 104,807 : x
  2. Step 2: Convert to fraction form
    65,919/104,807 = 104,807/x
  3. Step 3: Cross multiply
    65,919x = 104,807 × 104,807
  4. Step 4: Simplify right side
    65,919x = 10,984,507,249
  5. Step 5: Solve for x
    x = 10,984,507,249/65,919
  6. Step 6: Final answer
    x = 166,636.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.