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Finding the Third Proportional to 48,194 and 74,170

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Solution

The third proportional to 48,194 and 74,170 is: 114,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,194 : 74,170 = 74,170 : x
  2. Step 2: Convert to fraction form
    48,194/74,170 = 74,170/x
  3. Step 3: Cross multiply
    48,194x = 74,170 × 74,170
  4. Step 4: Simplify right side
    48,194x = 5,501,188,900
  5. Step 5: Solve for x
    x = 5,501,188,900/48,194
  6. Step 6: Final answer
    x = 114,146.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.