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Finding the Third Proportional to 52,841.25 and 117,075.75

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Solution

The third proportional to 52,841.25 and 117,075.75 is: 259,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,841.25 : 117,075.75 = 117,075.75 : x
  2. Step 2: Convert to fraction form
    52,841.25/117,075.75 = 117,075.75/x
  3. Step 3: Cross multiply
    52,841.25x = 117,075.75 × 117,075.75
  4. Step 4: Simplify right side
    52,841.25x = 13,706,731,238.06
  5. Step 5: Solve for x
    x = 13,706,731,238.06/52,841.25
  6. Step 6: Final answer
    x = 259,394.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.