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Finding the Third Proportional to 86,072 and 185,736

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Solution

The third proportional to 86,072 and 185,736 is: 400,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,072 : 185,736 = 185,736 : x
  2. Step 2: Convert to fraction form
    86,072/185,736 = 185,736/x
  3. Step 3: Cross multiply
    86,072x = 185,736 × 185,736
  4. Step 4: Simplify right side
    86,072x = 34,497,861,696
  5. Step 5: Solve for x
    x = 34,497,861,696/86,072
  6. Step 6: Final answer
    x = 400,802.37

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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.