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Finding the Third Proportional to 65,999 and 99,563

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Solution

The third proportional to 65,999 and 99,563 is: 150,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,999 : 99,563 = 99,563 : x
  2. Step 2: Convert to fraction form
    65,999/99,563 = 99,563/x
  3. Step 3: Cross multiply
    65,999x = 99,563 × 99,563
  4. Step 4: Simplify right side
    65,999x = 9,912,790,969
  5. Step 5: Solve for x
    x = 9,912,790,969/65,999
  6. Step 6: Final answer
    x = 150,196.08

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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.