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Finding the Third Proportional to 72,941 and 104,305

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Solution

The third proportional to 72,941 and 104,305 is: 149,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,941 : 104,305 = 104,305 : x
  2. Step 2: Convert to fraction form
    72,941/104,305 = 104,305/x
  3. Step 3: Cross multiply
    72,941x = 104,305 × 104,305
  4. Step 4: Simplify right side
    72,941x = 10,879,533,025
  5. Step 5: Solve for x
    x = 10,879,533,025/72,941
  6. Step 6: Final answer
    x = 149,155.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.