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Finding the Third Proportional to 86,542 and 186,010

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Solution

The third proportional to 86,542 and 186,010 is: 399,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542 : 186,010 = 186,010 : x
  2. Step 2: Convert to fraction form
    86,542/186,010 = 186,010/x
  3. Step 3: Cross multiply
    86,542x = 186,010 × 186,010
  4. Step 4: Simplify right side
    86,542x = 34,599,720,100
  5. Step 5: Solve for x
    x = 34,599,720,100/86,542
  6. Step 6: Final answer
    x = 399,802.64

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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.