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Finding the Third Proportional to 41,928 and 85,071

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Solution

The third proportional to 41,928 and 85,071 is: 172,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,928 : 85,071 = 85,071 : x
  2. Step 2: Convert to fraction form
    41,928/85,071 = 85,071/x
  3. Step 3: Cross multiply
    41,928x = 85,071 × 85,071
  4. Step 4: Simplify right side
    41,928x = 7,237,075,041
  5. Step 5: Solve for x
    x = 7,237,075,041/41,928
  6. Step 6: Final answer
    x = 172,607.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.