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Finding the Third Proportional to 69,544.50 and 152,211

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Solution

The third proportional to 69,544.50 and 152,211 is: 333,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,544.50 : 152,211 = 152,211 : x
  2. Step 2: Convert to fraction form
    69,544.50/152,211 = 152,211/x
  3. Step 3: Cross multiply
    69,544.50x = 152,211 × 152,211
  4. Step 4: Simplify right side
    69,544.50x = 23,168,188,521
  5. Step 5: Solve for x
    x = 23,168,188,521/69,544.50
  6. Step 6: Final answer
    x = 333,141.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.