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Finding the Third Proportional to 85,886 and 183,184

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Solution

The third proportional to 85,886 and 183,184 is: 390,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,886 : 183,184 = 183,184 : x
  2. Step 2: Convert to fraction form
    85,886/183,184 = 183,184/x
  3. Step 3: Cross multiply
    85,886x = 183,184 × 183,184
  4. Step 4: Simplify right side
    85,886x = 33,556,377,856
  5. Step 5: Solve for x
    x = 33,556,377,856/85,886
  6. Step 6: Final answer
    x = 390,708.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.