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Finding the Third Proportional to 51,235 and 69,075

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Solution

The third proportional to 51,235 and 69,075 is: 93,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235 : 69,075 = 69,075 : x
  2. Step 2: Convert to fraction form
    51,235/69,075 = 69,075/x
  3. Step 3: Cross multiply
    51,235x = 69,075 × 69,075
  4. Step 4: Simplify right side
    51,235x = 4,771,355,625
  5. Step 5: Solve for x
    x = 4,771,355,625/51,235
  6. Step 6: Final answer
    x = 93,126.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.