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Finding the Third Proportional to 39,095 and 84,268

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Solution

The third proportional to 39,095 and 84,268 is: 181,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,095 : 84,268 = 84,268 : x
  2. Step 2: Convert to fraction form
    39,095/84,268 = 84,268/x
  3. Step 3: Cross multiply
    39,095x = 84,268 × 84,268
  4. Step 4: Simplify right side
    39,095x = 7,101,095,824
  5. Step 5: Solve for x
    x = 7,101,095,824/39,095
  6. Step 6: Final answer
    x = 181,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.