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Finding the Third Proportional to 35,928 and 78,075

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Solution

The third proportional to 35,928 and 78,075 is: 169,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,928 : 78,075 = 78,075 : x
  2. Step 2: Convert to fraction form
    35,928/78,075 = 78,075/x
  3. Step 3: Cross multiply
    35,928x = 78,075 × 78,075
  4. Step 4: Simplify right side
    35,928x = 6,095,705,625
  5. Step 5: Solve for x
    x = 6,095,705,625/35,928
  6. Step 6: Final answer
    x = 169,664.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.