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Finding the Third Proportional to 68,934 and 143,700

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Solution

The third proportional to 68,934 and 143,700 is: 299,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,934 : 143,700 = 143,700 : x
  2. Step 2: Convert to fraction form
    68,934/143,700 = 143,700/x
  3. Step 3: Cross multiply
    68,934x = 143,700 × 143,700
  4. Step 4: Simplify right side
    68,934x = 20,649,690,000
  5. Step 5: Solve for x
    x = 20,649,690,000/68,934
  6. Step 6: Final answer
    x = 299,557.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.