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Finding the Third Proportional to 71,301.94 and 154,919.25

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Solution

The third proportional to 71,301.94 and 154,919.25 is: 336,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301.94 : 154,919.25 = 154,919.25 : x
  2. Step 2: Convert to fraction form
    71,301.94/154,919.25 = 154,919.25/x
  3. Step 3: Cross multiply
    71,301.94x = 154,919.25 × 154,919.25
  4. Step 4: Simplify right side
    71,301.94x = 23,999,974,020.56
  5. Step 5: Solve for x
    x = 23,999,974,020.56/71,301.94
  6. Step 6: Final answer
    x = 336,596.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.