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Finding the Third Proportional to 70,144 and 105,944

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Solution

The third proportional to 70,144 and 105,944 is: 160,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,144 : 105,944 = 105,944 : x
  2. Step 2: Convert to fraction form
    70,144/105,944 = 105,944/x
  3. Step 3: Cross multiply
    70,144x = 105,944 × 105,944
  4. Step 4: Simplify right side
    70,144x = 11,224,131,136
  5. Step 5: Solve for x
    x = 11,224,131,136/70,144
  6. Step 6: Final answer
    x = 160,015.56

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