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Finding the Third Proportional to 71,937 and 108,904

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Solution

The third proportional to 71,937 and 108,904 is: 164,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,937 : 108,904 = 108,904 : x
  2. Step 2: Convert to fraction form
    71,937/108,904 = 108,904/x
  3. Step 3: Cross multiply
    71,937x = 108,904 × 108,904
  4. Step 4: Simplify right side
    71,937x = 11,860,081,216
  5. Step 5: Solve for x
    x = 11,860,081,216/71,937
  6. Step 6: Final answer
    x = 164,867.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.