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Finding the Third Proportional to 76,902.33 and 120,393.63

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Solution

The third proportional to 76,902.33 and 120,393.63 is: 188,480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.33 : 120,393.63 = 120,393.63 : x
  2. Step 2: Convert to fraction form
    76,902.33/120,393.63 = 120,393.63/x
  3. Step 3: Cross multiply
    76,902.33x = 120,393.63 × 120,393.63
  4. Step 4: Simplify right side
    76,902.33x = 14,494,626,821.79
  5. Step 5: Solve for x
    x = 14,494,626,821.79/76,902.33
  6. Step 6: Final answer
    x = 188,480.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.