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Finding the Third Proportional to 41,256 and 71,928

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Solution

The third proportional to 41,256 and 71,928 is: 125,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,256 : 71,928 = 71,928 : x
  2. Step 2: Convert to fraction form
    41,256/71,928 = 71,928/x
  3. Step 3: Cross multiply
    41,256x = 71,928 × 71,928
  4. Step 4: Simplify right side
    41,256x = 5,173,637,184
  5. Step 5: Solve for x
    x = 5,173,637,184/41,256
  6. Step 6: Final answer
    x = 125,403.27

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.