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Finding the Third Proportional to 45,514 and 93,296

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Solution

The third proportional to 45,514 and 93,296 is: 191,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,514 : 93,296 = 93,296 : x
  2. Step 2: Convert to fraction form
    45,514/93,296 = 93,296/x
  3. Step 3: Cross multiply
    45,514x = 93,296 × 93,296
  4. Step 4: Simplify right side
    45,514x = 8,704,143,616
  5. Step 5: Solve for x
    x = 8,704,143,616/45,514
  6. Step 6: Final answer
    x = 191,241.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.