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Finding the Third Proportional to 61,627 and 133,075

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Solution

The third proportional to 61,627 and 133,075 is: 287,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627 : 133,075 = 133,075 : x
  2. Step 2: Convert to fraction form
    61,627/133,075 = 133,075/x
  3. Step 3: Cross multiply
    61,627x = 133,075 × 133,075
  4. Step 4: Simplify right side
    61,627x = 17,708,955,625
  5. Step 5: Solve for x
    x = 17,708,955,625/61,627
  6. Step 6: Final answer
    x = 287,357.09

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