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Finding the Third Proportional to 72,024 and 149,824

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Solution

The third proportional to 72,024 and 149,824 is: 311,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,024 : 149,824 = 149,824 : x
  2. Step 2: Convert to fraction form
    72,024/149,824 = 149,824/x
  3. Step 3: Cross multiply
    72,024x = 149,824 × 149,824
  4. Step 4: Simplify right side
    72,024x = 22,447,230,976
  5. Step 5: Solve for x
    x = 22,447,230,976/72,024
  6. Step 6: Final answer
    x = 311,663.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.