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Finding the Third Proportional to 45,668 and 68,316

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Solution

The third proportional to 45,668 and 68,316 is: 102,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,668 : 68,316 = 68,316 : x
  2. Step 2: Convert to fraction form
    45,668/68,316 = 68,316/x
  3. Step 3: Cross multiply
    45,668x = 68,316 × 68,316
  4. Step 4: Simplify right side
    45,668x = 4,667,075,856
  5. Step 5: Solve for x
    x = 4,667,075,856/45,668
  6. Step 6: Final answer
    x = 102,195.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.