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Finding the Third Proportional to 81,232 and 169,841

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Solution

The third proportional to 81,232 and 169,841 is: 355,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,232 : 169,841 = 169,841 : x
  2. Step 2: Convert to fraction form
    81,232/169,841 = 169,841/x
  3. Step 3: Cross multiply
    81,232x = 169,841 × 169,841
  4. Step 4: Simplify right side
    81,232x = 28,845,965,281
  5. Step 5: Solve for x
    x = 28,845,965,281/81,232
  6. Step 6: Final answer
    x = 355,105.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.