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Finding the Third Proportional to 86,939 and 185,361

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Solution

The third proportional to 86,939 and 185,361 is: 395,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,939 : 185,361 = 185,361 : x
  2. Step 2: Convert to fraction form
    86,939/185,361 = 185,361/x
  3. Step 3: Cross multiply
    86,939x = 185,361 × 185,361
  4. Step 4: Simplify right side
    86,939x = 34,358,700,321
  5. Step 5: Solve for x
    x = 34,358,700,321/86,939
  6. Step 6: Final answer
    x = 395,204.69

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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.