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Finding the Third Proportional to 86,051 and 185,285

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Solution

The third proportional to 86,051 and 185,285 is: 398,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,051 : 185,285 = 185,285 : x
  2. Step 2: Convert to fraction form
    86,051/185,285 = 185,285/x
  3. Step 3: Cross multiply
    86,051x = 185,285 × 185,285
  4. Step 4: Simplify right side
    86,051x = 34,330,531,225
  5. Step 5: Solve for x
    x = 34,330,531,225/86,051
  6. Step 6: Final answer
    x = 398,955.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.