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Finding the Third Proportional to 85,833 and 186,916

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Solution

The third proportional to 85,833 and 186,916 is: 407,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,833 : 186,916 = 186,916 : x
  2. Step 2: Convert to fraction form
    85,833/186,916 = 186,916/x
  3. Step 3: Cross multiply
    85,833x = 186,916 × 186,916
  4. Step 4: Simplify right side
    85,833x = 34,937,591,056
  5. Step 5: Solve for x
    x = 34,937,591,056/85,833
  6. Step 6: Final answer
    x = 407,041.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.