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Finding the Third Proportional to 76,105.50 and 120,504

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Solution

The third proportional to 76,105.50 and 120,504 is: 190,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,105.50 : 120,504 = 120,504 : x
  2. Step 2: Convert to fraction form
    76,105.50/120,504 = 120,504/x
  3. Step 3: Cross multiply
    76,105.50x = 120,504 × 120,504
  4. Step 4: Simplify right side
    76,105.50x = 14,521,214,016
  5. Step 5: Solve for x
    x = 14,521,214,016/76,105.50
  6. Step 6: Final answer
    x = 190,803.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.