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Finding the Third Proportional to 39,111.85 and 83,759.54

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Solution

The third proportional to 39,111.85 and 83,759.54 is: 179,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,111.85 : 83,759.54 = 83,759.54 : x
  2. Step 2: Convert to fraction form
    39,111.85/83,759.54 = 83,759.54/x
  3. Step 3: Cross multiply
    39,111.85x = 83,759.54 × 83,759.54
  4. Step 4: Simplify right side
    39,111.85x = 7,015,660,056.78
  5. Step 5: Solve for x
    x = 7,015,660,056.78/39,111.85
  6. Step 6: Final answer
    x = 179,374.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.