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Finding the Third Proportional to 81,242 and 188,061

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Solution

The third proportional to 81,242 and 188,061 is: 435,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,242 : 188,061 = 188,061 : x
  2. Step 2: Convert to fraction form
    81,242/188,061 = 188,061/x
  3. Step 3: Cross multiply
    81,242x = 188,061 × 188,061
  4. Step 4: Simplify right side
    81,242x = 35,366,939,721
  5. Step 5: Solve for x
    x = 35,366,939,721/81,242
  6. Step 6: Final answer
    x = 435,328.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.