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Finding the Third Proportional to 86,548 and 186,916

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Solution

The third proportional to 86,548 and 186,916 is: 403,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,548 : 186,916 = 186,916 : x
  2. Step 2: Convert to fraction form
    86,548/186,916 = 186,916/x
  3. Step 3: Cross multiply
    86,548x = 186,916 × 186,916
  4. Step 4: Simplify right side
    86,548x = 34,937,591,056
  5. Step 5: Solve for x
    x = 34,937,591,056/86,548
  6. Step 6: Final answer
    x = 403,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.