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Finding the Third Proportional to 86,605 and 186,103

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Solution

The third proportional to 86,605 and 186,103 is: 399,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,605 : 186,103 = 186,103 : x
  2. Step 2: Convert to fraction form
    86,605/186,103 = 186,103/x
  3. Step 3: Cross multiply
    86,605x = 186,103 × 186,103
  4. Step 4: Simplify right side
    86,605x = 34,634,326,609
  5. Step 5: Solve for x
    x = 34,634,326,609/86,605
  6. Step 6: Final answer
    x = 399,911.40

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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.