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Finding the Third Proportional to 114,642 and 177,075

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Solution

The third proportional to 114,642 and 177,075 is: 273,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,642 : 177,075 = 177,075 : x
  2. Step 2: Convert to fraction form
    114,642/177,075 = 177,075/x
  3. Step 3: Cross multiply
    114,642x = 177,075 × 177,075
  4. Step 4: Simplify right side
    114,642x = 31,355,555,625
  5. Step 5: Solve for x
    x = 31,355,555,625/114,642
  6. Step 6: Final answer
    x = 273,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.