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Finding the Third Proportional to 116,616 and 180,075

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Solution

The third proportional to 116,616 and 180,075 is: 278,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,616 : 180,075 = 180,075 : x
  2. Step 2: Convert to fraction form
    116,616/180,075 = 180,075/x
  3. Step 3: Cross multiply
    116,616x = 180,075 × 180,075
  4. Step 4: Simplify right side
    116,616x = 32,427,005,625
  5. Step 5: Solve for x
    x = 32,427,005,625/116,616
  6. Step 6: Final answer
    x = 278,066.52

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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.