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Finding the Third Proportional to 74,858 and 113,063

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Solution

The third proportional to 74,858 and 113,063 is: 170,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,858 : 113,063 = 113,063 : x
  2. Step 2: Convert to fraction form
    74,858/113,063 = 113,063/x
  3. Step 3: Cross multiply
    74,858x = 113,063 × 113,063
  4. Step 4: Simplify right side
    74,858x = 12,783,241,969
  5. Step 5: Solve for x
    x = 12,783,241,969/74,858
  6. Step 6: Final answer
    x = 170,766.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.