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Finding the Third Proportional to 105,718.50 and 154,608.75

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Solution

The third proportional to 105,718.50 and 154,608.75 is: 226,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718.50 : 154,608.75 = 154,608.75 : x
  2. Step 2: Convert to fraction form
    105,718.50/154,608.75 = 154,608.75/x
  3. Step 3: Cross multiply
    105,718.50x = 154,608.75 × 154,608.75
  4. Step 4: Simplify right side
    105,718.50x = 23,903,865,576.56
  5. Step 5: Solve for x
    x = 23,903,865,576.56/105,718.50
  6. Step 6: Final answer
    x = 226,108.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.