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Finding the Third Proportional to 80,148.94 and 125,075.81

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Solution

The third proportional to 80,148.94 and 125,075.81 is: 195,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148.94 : 125,075.81 = 125,075.81 : x
  2. Step 2: Convert to fraction form
    80,148.94/125,075.81 = 125,075.81/x
  3. Step 3: Cross multiply
    80,148.94x = 125,075.81 × 125,075.81
  4. Step 4: Simplify right side
    80,148.94x = 15,643,958,872.54
  5. Step 5: Solve for x
    x = 15,643,958,872.54/80,148.94
  6. Step 6: Final answer
    x = 195,186.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.