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Finding the Third Proportional to 52,698 and 77,075

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Solution

The third proportional to 52,698 and 77,075 is: 112,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,698 : 77,075 = 77,075 : x
  2. Step 2: Convert to fraction form
    52,698/77,075 = 77,075/x
  3. Step 3: Cross multiply
    52,698x = 77,075 × 77,075
  4. Step 4: Simplify right side
    52,698x = 5,940,555,625
  5. Step 5: Solve for x
    x = 5,940,555,625/52,698
  6. Step 6: Final answer
    x = 112,728.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.