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Finding the Third Proportional to 67,364 and 105,366

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Solution

The third proportional to 67,364 and 105,366 is: 164,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,364 : 105,366 = 105,366 : x
  2. Step 2: Convert to fraction form
    67,364/105,366 = 105,366/x
  3. Step 3: Cross multiply
    67,364x = 105,366 × 105,366
  4. Step 4: Simplify right side
    67,364x = 11,101,993,956
  5. Step 5: Solve for x
    x = 11,101,993,956/67,364
  6. Step 6: Final answer
    x = 164,806.04

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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.