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Finding the Third Proportional to 68,819 and 100,573

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Solution

The third proportional to 68,819 and 100,573 is: 146,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,819 : 100,573 = 100,573 : x
  2. Step 2: Convert to fraction form
    68,819/100,573 = 100,573/x
  3. Step 3: Cross multiply
    68,819x = 100,573 × 100,573
  4. Step 4: Simplify right side
    68,819x = 10,114,928,329
  5. Step 5: Solve for x
    x = 10,114,928,329/68,819
  6. Step 6: Final answer
    x = 146,978.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.