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Finding the Third Proportional to 77,766.75 and 118,188.75

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Solution

The third proportional to 77,766.75 and 118,188.75 is: 179,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766.75 : 118,188.75 = 118,188.75 : x
  2. Step 2: Convert to fraction form
    77,766.75/118,188.75 = 118,188.75/x
  3. Step 3: Cross multiply
    77,766.75x = 118,188.75 × 118,188.75
  4. Step 4: Simplify right side
    77,766.75x = 13,968,580,626.56
  5. Step 5: Solve for x
    x = 13,968,580,626.56/77,766.75
  6. Step 6: Final answer
    x = 179,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.