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Finding the Third Proportional to 78,027.75 and 117,739.50

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Solution

The third proportional to 78,027.75 and 117,739.50 is: 177,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027.75 : 117,739.50 = 117,739.50 : x
  2. Step 2: Convert to fraction form
    78,027.75/117,739.50 = 117,739.50/x
  3. Step 3: Cross multiply
    78,027.75x = 117,739.50 × 117,739.50
  4. Step 4: Simplify right side
    78,027.75x = 13,862,589,860.25
  5. Step 5: Solve for x
    x = 13,862,589,860.25/78,027.75
  6. Step 6: Final answer
    x = 177,662.30

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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.