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Finding the Third Proportional to 45,138 and 94,916

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Solution

The third proportional to 45,138 and 94,916 is: 199,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,138 : 94,916 = 94,916 : x
  2. Step 2: Convert to fraction form
    45,138/94,916 = 94,916/x
  3. Step 3: Cross multiply
    45,138x = 94,916 × 94,916
  4. Step 4: Simplify right side
    45,138x = 9,009,047,056
  5. Step 5: Solve for x
    x = 9,009,047,056/45,138
  6. Step 6: Final answer
    x = 199,588.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.