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Finding the Third Proportional to 45,696 and 97,212

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Solution

The third proportional to 45,696 and 97,212 is: 206,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696 : 97,212 = 97,212 : x
  2. Step 2: Convert to fraction form
    45,696/97,212 = 97,212/x
  3. Step 3: Cross multiply
    45,696x = 97,212 × 97,212
  4. Step 4: Simplify right side
    45,696x = 9,450,172,944
  5. Step 5: Solve for x
    x = 9,450,172,944/45,696
  6. Step 6: Final answer
    x = 206,805.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.