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Finding the Third Proportional to 67,194 and 104,875

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Solution

The third proportional to 67,194 and 104,875 is: 163,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194 : 104,875 = 104,875 : x
  2. Step 2: Convert to fraction form
    67,194/104,875 = 104,875/x
  3. Step 3: Cross multiply
    67,194x = 104,875 × 104,875
  4. Step 4: Simplify right side
    67,194x = 10,998,765,625
  5. Step 5: Solve for x
    x = 10,998,765,625/67,194
  6. Step 6: Final answer
    x = 163,686.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.