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Finding the Third Proportional to 65,675 and 98,999

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Solution

The third proportional to 65,675 and 98,999 is: 149,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,675 : 98,999 = 98,999 : x
  2. Step 2: Convert to fraction form
    65,675/98,999 = 98,999/x
  3. Step 3: Cross multiply
    65,675x = 98,999 × 98,999
  4. Step 4: Simplify right side
    65,675x = 9,800,802,001
  5. Step 5: Solve for x
    x = 9,800,802,001/65,675
  6. Step 6: Final answer
    x = 149,231.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.