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Finding the Third Proportional to 129,022 and 195,476

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Solution

The third proportional to 129,022 and 195,476 is: 296,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022 : 195,476 = 195,476 : x
  2. Step 2: Convert to fraction form
    129,022/195,476 = 195,476/x
  3. Step 3: Cross multiply
    129,022x = 195,476 × 195,476
  4. Step 4: Simplify right side
    129,022x = 38,210,866,576
  5. Step 5: Solve for x
    x = 38,210,866,576/129,022
  6. Step 6: Final answer
    x = 296,157.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.