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Finding the Third Proportional to 71,999 and 96,925

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Solution

The third proportional to 71,999 and 96,925 is: 130,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,999 : 96,925 = 96,925 : x
  2. Step 2: Convert to fraction form
    71,999/96,925 = 96,925/x
  3. Step 3: Cross multiply
    71,999x = 96,925 × 96,925
  4. Step 4: Simplify right side
    71,999x = 9,394,455,625
  5. Step 5: Solve for x
    x = 9,394,455,625/71,999
  6. Step 6: Final answer
    x = 130,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.