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Finding the Third Proportional to 45,453 and 93,171

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Solution

The third proportional to 45,453 and 93,171 is: 190,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,453 : 93,171 = 93,171 : x
  2. Step 2: Convert to fraction form
    45,453/93,171 = 93,171/x
  3. Step 3: Cross multiply
    45,453x = 93,171 × 93,171
  4. Step 4: Simplify right side
    45,453x = 8,680,835,241
  5. Step 5: Solve for x
    x = 8,680,835,241/45,453
  6. Step 6: Final answer
    x = 190,984.87

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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.