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Finding the Third Proportional to 120,264.75 and 193,245.75

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Solution

The third proportional to 120,264.75 and 193,245.75 is: 310,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.75 : 193,245.75 = 193,245.75 : x
  2. Step 2: Convert to fraction form
    120,264.75/193,245.75 = 193,245.75/x
  3. Step 3: Cross multiply
    120,264.75x = 193,245.75 × 193,245.75
  4. Step 4: Simplify right side
    120,264.75x = 37,343,919,893.06
  5. Step 5: Solve for x
    x = 37,343,919,893.06/120,264.75
  6. Step 6: Final answer
    x = 310,514.26

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.