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Finding the Third Proportional to 86,541 and 186,906

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Solution

The third proportional to 86,541 and 186,906 is: 403,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541 : 186,906 = 186,906 : x
  2. Step 2: Convert to fraction form
    86,541/186,906 = 186,906/x
  3. Step 3: Cross multiply
    86,541x = 186,906 × 186,906
  4. Step 4: Simplify right side
    86,541x = 34,933,852,836
  5. Step 5: Solve for x
    x = 34,933,852,836/86,541
  6. Step 6: Final answer
    x = 403,668.24

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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.