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Finding the Third Proportional to 69,276 and 148,912

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Solution

The third proportional to 69,276 and 148,912 is: 320,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 148,912 = 148,912 : x
  2. Step 2: Convert to fraction form
    69,276/148,912 = 148,912/x
  3. Step 3: Cross multiply
    69,276x = 148,912 × 148,912
  4. Step 4: Simplify right side
    69,276x = 22,174,783,744
  5. Step 5: Solve for x
    x = 22,174,783,744/69,276
  6. Step 6: Final answer
    x = 320,093.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.