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Finding the Third Proportional to 44,071 and 85,928

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Solution

The third proportional to 44,071 and 85,928 is: 167,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,071 : 85,928 = 85,928 : x
  2. Step 2: Convert to fraction form
    44,071/85,928 = 85,928/x
  3. Step 3: Cross multiply
    44,071x = 85,928 × 85,928
  4. Step 4: Simplify right side
    44,071x = 7,383,621,184
  5. Step 5: Solve for x
    x = 7,383,621,184/44,071
  6. Step 6: Final answer
    x = 167,539.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.