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Finding the Third Proportional to 103,673 and 146,093

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Solution

The third proportional to 103,673 and 146,093 is: 205,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673 : 146,093 = 146,093 : x
  2. Step 2: Convert to fraction form
    103,673/146,093 = 146,093/x
  3. Step 3: Cross multiply
    103,673x = 146,093 × 146,093
  4. Step 4: Simplify right side
    103,673x = 21,343,164,649
  5. Step 5: Solve for x
    x = 21,343,164,649/103,673
  6. Step 6: Final answer
    x = 205,870.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.