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Finding the Third Proportional to 38,196 and 83,169

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Solution

The third proportional to 38,196 and 83,169 is: 181,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 83,169 = 83,169 : x
  2. Step 2: Convert to fraction form
    38,196/83,169 = 83,169/x
  3. Step 3: Cross multiply
    38,196x = 83,169 × 83,169
  4. Step 4: Simplify right side
    38,196x = 6,917,082,561
  5. Step 5: Solve for x
    x = 6,917,082,561/38,196
  6. Step 6: Final answer
    x = 181,094.42

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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.