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Finding the Third Proportional to 68,382 and 104,964.75

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Solution

The third proportional to 68,382 and 104,964.75 is: 161,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382 : 104,964.75 = 104,964.75 : x
  2. Step 2: Convert to fraction form
    68,382/104,964.75 = 104,964.75/x
  3. Step 3: Cross multiply
    68,382x = 104,964.75 × 104,964.75
  4. Step 4: Simplify right side
    68,382x = 11,017,598,742.56
  5. Step 5: Solve for x
    x = 11,017,598,742.56/68,382
  6. Step 6: Final answer
    x = 161,118.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.