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Finding the Third Proportional to 86,042 and 201,085

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Solution

The third proportional to 86,042 and 201,085 is: 469,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042 : 201,085 = 201,085 : x
  2. Step 2: Convert to fraction form
    86,042/201,085 = 201,085/x
  3. Step 3: Cross multiply
    86,042x = 201,085 × 201,085
  4. Step 4: Simplify right side
    86,042x = 40,435,177,225
  5. Step 5: Solve for x
    x = 40,435,177,225/86,042
  6. Step 6: Final answer
    x = 469,946.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.