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Finding the Third Proportional to 77,652 and 169,843

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Solution

The third proportional to 77,652 and 169,843 is: 371,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652 : 169,843 = 169,843 : x
  2. Step 2: Convert to fraction form
    77,652/169,843 = 169,843/x
  3. Step 3: Cross multiply
    77,652x = 169,843 × 169,843
  4. Step 4: Simplify right side
    77,652x = 28,846,644,649
  5. Step 5: Solve for x
    x = 28,846,644,649/77,652
  6. Step 6: Final answer
    x = 371,486.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.