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Finding the Third Proportional to 72,968 and 159,648

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Solution

The third proportional to 72,968 and 159,648 is: 349,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,968 : 159,648 = 159,648 : x
  2. Step 2: Convert to fraction form
    72,968/159,648 = 159,648/x
  3. Step 3: Cross multiply
    72,968x = 159,648 × 159,648
  4. Step 4: Simplify right side
    72,968x = 25,487,483,904
  5. Step 5: Solve for x
    x = 25,487,483,904/72,968
  6. Step 6: Final answer
    x = 349,296.73

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Why These Related Problems?

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