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Finding the Third Proportional to 75,648.50 and 109,925

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Solution

The third proportional to 75,648.50 and 109,925 is: 159,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,648.50 : 109,925 = 109,925 : x
  2. Step 2: Convert to fraction form
    75,648.50/109,925 = 109,925/x
  3. Step 3: Cross multiply
    75,648.50x = 109,925 × 109,925
  4. Step 4: Simplify right side
    75,648.50x = 12,083,505,625
  5. Step 5: Solve for x
    x = 12,083,505,625/75,648.50
  6. Step 6: Final answer
    x = 159,732.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.