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Finding the Third Proportional to 68,344 and 143,596

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Solution

The third proportional to 68,344 and 143,596 is: 301,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,344 : 143,596 = 143,596 : x
  2. Step 2: Convert to fraction form
    68,344/143,596 = 143,596/x
  3. Step 3: Cross multiply
    68,344x = 143,596 × 143,596
  4. Step 4: Simplify right side
    68,344x = 20,619,811,216
  5. Step 5: Solve for x
    x = 20,619,811,216/68,344
  6. Step 6: Final answer
    x = 301,706.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.