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Finding the Third Proportional to 39,436 and 86,155

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Solution

The third proportional to 39,436 and 86,155 is: 188,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,436 : 86,155 = 86,155 : x
  2. Step 2: Convert to fraction form
    39,436/86,155 = 86,155/x
  3. Step 3: Cross multiply
    39,436x = 86,155 × 86,155
  4. Step 4: Simplify right side
    39,436x = 7,422,684,025
  5. Step 5: Solve for x
    x = 7,422,684,025/39,436
  6. Step 6: Final answer
    x = 188,221.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.