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Finding the Third Proportional to 86,590 and 186,556

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Solution

The third proportional to 86,590 and 186,556 is: 401,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,590 : 186,556 = 186,556 : x
  2. Step 2: Convert to fraction form
    86,590/186,556 = 186,556/x
  3. Step 3: Cross multiply
    86,590x = 186,556 × 186,556
  4. Step 4: Simplify right side
    86,590x = 34,803,141,136
  5. Step 5: Solve for x
    x = 34,803,141,136/86,590
  6. Step 6: Final answer
    x = 401,930.26

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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.