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Finding the Third Proportional to 102,075.75 and 150,197.25

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Solution

The third proportional to 102,075.75 and 150,197.25 is: 221,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.75 : 150,197.25 = 150,197.25 : x
  2. Step 2: Convert to fraction form
    102,075.75/150,197.25 = 150,197.25/x
  3. Step 3: Cross multiply
    102,075.75x = 150,197.25 × 150,197.25
  4. Step 4: Simplify right side
    102,075.75x = 22,559,213,907.56
  5. Step 5: Solve for x
    x = 22,559,213,907.56/102,075.75
  6. Step 6: Final answer
    x = 221,004.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.