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Finding the Third Proportional to 120,852 and 169,884

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Solution

The third proportional to 120,852 and 169,884 is: 238,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,852 : 169,884 = 169,884 : x
  2. Step 2: Convert to fraction form
    120,852/169,884 = 169,884/x
  3. Step 3: Cross multiply
    120,852x = 169,884 × 169,884
  4. Step 4: Simplify right side
    120,852x = 28,860,573,456
  5. Step 5: Solve for x
    x = 28,860,573,456/120,852
  6. Step 6: Final answer
    x = 238,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.