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Finding the Third Proportional to 135,075.25 and 291,099

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Solution

The third proportional to 135,075.25 and 291,099 is: 627,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,075.25 : 291,099 = 291,099 : x
  2. Step 2: Convert to fraction form
    135,075.25/291,099 = 291,099/x
  3. Step 3: Cross multiply
    135,075.25x = 291,099 × 291,099
  4. Step 4: Simplify right side
    135,075.25x = 84,738,627,801
  5. Step 5: Solve for x
    x = 84,738,627,801/135,075.25
  6. Step 6: Final answer
    x = 627,343.85

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Why These Related Problems?

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