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Finding the Third Proportional to 72,967 and 104,842

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Solution

The third proportional to 72,967 and 104,842 is: 150,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967 : 104,842 = 104,842 : x
  2. Step 2: Convert to fraction form
    72,967/104,842 = 104,842/x
  3. Step 3: Cross multiply
    72,967x = 104,842 × 104,842
  4. Step 4: Simplify right side
    72,967x = 10,991,844,964
  5. Step 5: Solve for x
    x = 10,991,844,964/72,967
  6. Step 6: Final answer
    x = 150,641.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.