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Finding the Third Proportional to 135,099.75 and 291,075.75

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Solution

The third proportional to 135,099.75 and 291,075.75 is: 627,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099.75 : 291,075.75 = 291,075.75 : x
  2. Step 2: Convert to fraction form
    135,099.75/291,075.75 = 291,075.75/x
  3. Step 3: Cross multiply
    135,099.75x = 291,075.75 × 291,075.75
  4. Step 4: Simplify right side
    135,099.75x = 84,725,092,238.06
  5. Step 5: Solve for x
    x = 84,725,092,238.06/135,099.75
  6. Step 6: Final answer
    x = 627,129.90

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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.