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Finding the Third Proportional to 45,923.25 and 69,222.75

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Solution

The third proportional to 45,923.25 and 69,222.75 is: 104,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,923.25 : 69,222.75 = 69,222.75 : x
  2. Step 2: Convert to fraction form
    45,923.25/69,222.75 = 69,222.75/x
  3. Step 3: Cross multiply
    45,923.25x = 69,222.75 × 69,222.75
  4. Step 4: Simplify right side
    45,923.25x = 4,791,789,117.56
  5. Step 5: Solve for x
    x = 4,791,789,117.56/45,923.25
  6. Step 6: Final answer
    x = 104,343.42

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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.