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Finding the Third Proportional to 120,671.25 and 163,885.13

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Solution

The third proportional to 120,671.25 and 163,885.13 is: 222,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,671.25 : 163,885.13 = 163,885.13 : x
  2. Step 2: Convert to fraction form
    120,671.25/163,885.13 = 163,885.13/x
  3. Step 3: Cross multiply
    120,671.25x = 163,885.13 × 163,885.13
  4. Step 4: Simplify right side
    120,671.25x = 26,858,334,196.27
  5. Step 5: Solve for x
    x = 26,858,334,196.27/120,671.25
  6. Step 6: Final answer
    x = 222,574.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.