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Finding the Third Proportional to 39,261.25 and 85,999

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Solution

The third proportional to 39,261.25 and 85,999 is: 188,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,261.25 : 85,999 = 85,999 : x
  2. Step 2: Convert to fraction form
    39,261.25/85,999 = 85,999/x
  3. Step 3: Cross multiply
    39,261.25x = 85,999 × 85,999
  4. Step 4: Simplify right side
    39,261.25x = 7,395,828,001
  5. Step 5: Solve for x
    x = 7,395,828,001/39,261.25
  6. Step 6: Final answer
    x = 188,374.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.