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Finding the Third Proportional to 103,994.72 and 148,610.53

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Solution

The third proportional to 103,994.72 and 148,610.53 is: 212,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,994.72 : 148,610.53 = 148,610.53 : x
  2. Step 2: Convert to fraction form
    103,994.72/148,610.53 = 148,610.53/x
  3. Step 3: Cross multiply
    103,994.72x = 148,610.53 × 148,610.53
  4. Step 4: Simplify right side
    103,994.72x = 22,085,089,998.41
  5. Step 5: Solve for x
    x = 22,085,089,998.41/103,994.72
  6. Step 6: Final answer
    x = 212,367.42

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.