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Finding the Third Proportional to 39,196 and 84,284

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Solution

The third proportional to 39,196 and 84,284 is: 181,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196 : 84,284 = 84,284 : x
  2. Step 2: Convert to fraction form
    39,196/84,284 = 84,284/x
  3. Step 3: Cross multiply
    39,196x = 84,284 × 84,284
  4. Step 4: Simplify right side
    39,196x = 7,103,792,656
  5. Step 5: Solve for x
    x = 7,103,792,656/39,196
  6. Step 6: Final answer
    x = 181,237.69

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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.