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Finding the Third Proportional to 72,912 and 153,456

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Solution

The third proportional to 72,912 and 153,456 is: 322,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,912 : 153,456 = 153,456 : x
  2. Step 2: Convert to fraction form
    72,912/153,456 = 153,456/x
  3. Step 3: Cross multiply
    72,912x = 153,456 × 153,456
  4. Step 4: Simplify right side
    72,912x = 23,548,743,936
  5. Step 5: Solve for x
    x = 23,548,743,936/72,912
  6. Step 6: Final answer
    x = 322,974.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.