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Finding the Third Proportional to 44,451 and 104,925

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Solution

The third proportional to 44,451 and 104,925 is: 247,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,451 : 104,925 = 104,925 : x
  2. Step 2: Convert to fraction form
    44,451/104,925 = 104,925/x
  3. Step 3: Cross multiply
    44,451x = 104,925 × 104,925
  4. Step 4: Simplify right side
    44,451x = 11,009,255,625
  5. Step 5: Solve for x
    x = 11,009,255,625/44,451
  6. Step 6: Final answer
    x = 247,671.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.