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Finding the Third Proportional to 45,463 and 93,181

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Solution

The third proportional to 45,463 and 93,181 is: 190,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463 : 93,181 = 93,181 : x
  2. Step 2: Convert to fraction form
    45,463/93,181 = 93,181/x
  3. Step 3: Cross multiply
    45,463x = 93,181 × 93,181
  4. Step 4: Simplify right side
    45,463x = 8,682,698,761
  5. Step 5: Solve for x
    x = 8,682,698,761/45,463
  6. Step 6: Final answer
    x = 190,983.85

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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.