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Finding the Third Proportional to 81,043 and 188,407

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Solution

The third proportional to 81,043 and 188,407 is: 438,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,043 : 188,407 = 188,407 : x
  2. Step 2: Convert to fraction form
    81,043/188,407 = 188,407/x
  3. Step 3: Cross multiply
    81,043x = 188,407 × 188,407
  4. Step 4: Simplify right side
    81,043x = 35,497,197,649
  5. Step 5: Solve for x
    x = 35,497,197,649/81,043
  6. Step 6: Final answer
    x = 438,004.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.