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Finding the Third Proportional to 62,075 and 133,994

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Solution

The third proportional to 62,075 and 133,994 is: 289,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,075 : 133,994 = 133,994 : x
  2. Step 2: Convert to fraction form
    62,075/133,994 = 133,994/x
  3. Step 3: Cross multiply
    62,075x = 133,994 × 133,994
  4. Step 4: Simplify right side
    62,075x = 17,954,392,036
  5. Step 5: Solve for x
    x = 17,954,392,036/62,075
  6. Step 6: Final answer
    x = 289,237.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.