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Finding the Third Proportional to 68,109.75 and 163,626.75

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Solution

The third proportional to 68,109.75 and 163,626.75 is: 393,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,109.75 : 163,626.75 = 163,626.75 : x
  2. Step 2: Convert to fraction form
    68,109.75/163,626.75 = 163,626.75/x
  3. Step 3: Cross multiply
    68,109.75x = 163,626.75 × 163,626.75
  4. Step 4: Simplify right side
    68,109.75x = 26,773,713,315.56
  5. Step 5: Solve for x
    x = 26,773,713,315.56/68,109.75
  6. Step 6: Final answer
    x = 393,096.63

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.