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Finding the Third Proportional to 67,904 and 101,984

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Solution

The third proportional to 67,904 and 101,984 is: 153,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,904 : 101,984 = 101,984 : x
  2. Step 2: Convert to fraction form
    67,904/101,984 = 101,984/x
  3. Step 3: Cross multiply
    67,904x = 101,984 × 101,984
  4. Step 4: Simplify right side
    67,904x = 10,400,736,256
  5. Step 5: Solve for x
    x = 10,400,736,256/67,904
  6. Step 6: Final answer
    x = 153,168.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.