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Finding the Third Proportional to 86,496 and 185,927

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Solution

The third proportional to 86,496 and 185,927 is: 399,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,496 : 185,927 = 185,927 : x
  2. Step 2: Convert to fraction form
    86,496/185,927 = 185,927/x
  3. Step 3: Cross multiply
    86,496x = 185,927 × 185,927
  4. Step 4: Simplify right side
    86,496x = 34,568,849,329
  5. Step 5: Solve for x
    x = 34,568,849,329/86,496
  6. Step 6: Final answer
    x = 399,658.36

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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.