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Finding the Third Proportional to 52,914 and 85,075

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Solution

The third proportional to 52,914 and 85,075 is: 136,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,914 : 85,075 = 85,075 : x
  2. Step 2: Convert to fraction form
    52,914/85,075 = 85,075/x
  3. Step 3: Cross multiply
    52,914x = 85,075 × 85,075
  4. Step 4: Simplify right side
    52,914x = 7,237,755,625
  5. Step 5: Solve for x
    x = 7,237,755,625/52,914
  6. Step 6: Final answer
    x = 136,783.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.