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Finding the Third Proportional to 45,926 and 96,006

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Solution

The third proportional to 45,926 and 96,006 is: 200,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926 : 96,006 = 96,006 : x
  2. Step 2: Convert to fraction form
    45,926/96,006 = 96,006/x
  3. Step 3: Cross multiply
    45,926x = 96,006 × 96,006
  4. Step 4: Simplify right side
    45,926x = 9,217,152,036
  5. Step 5: Solve for x
    x = 9,217,152,036/45,926
  6. Step 6: Final answer
    x = 200,695.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.