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Finding the Third Proportional to 143,135.06 and 194,393.06

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Solution

The third proportional to 143,135.06 and 194,393.06 is: 264,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.06 : 194,393.06 = 194,393.06 : x
  2. Step 2: Convert to fraction form
    143,135.06/194,393.06 = 194,393.06/x
  3. Step 3: Cross multiply
    143,135.06x = 194,393.06 × 194,393.06
  4. Step 4: Simplify right side
    143,135.06x = 37,788,662,748.13
  5. Step 5: Solve for x
    x = 37,788,662,748.13/143,135.06
  6. Step 6: Final answer
    x = 264,007.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.