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Finding the Third Proportional to 78,104.25 and 168,075

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Solution

The third proportional to 78,104.25 and 168,075 is: 361,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104.25 : 168,075 = 168,075 : x
  2. Step 2: Convert to fraction form
    78,104.25/168,075 = 168,075/x
  3. Step 3: Cross multiply
    78,104.25x = 168,075 × 168,075
  4. Step 4: Simplify right side
    78,104.25x = 28,249,205,625
  5. Step 5: Solve for x
    x = 28,249,205,625/78,104.25
  6. Step 6: Final answer
    x = 361,685.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.