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Finding the Third Proportional to 129,096 and 195,576

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Solution

The third proportional to 129,096 and 195,576 is: 296,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,096 : 195,576 = 195,576 : x
  2. Step 2: Convert to fraction form
    129,096/195,576 = 195,576/x
  3. Step 3: Cross multiply
    129,096x = 195,576 × 195,576
  4. Step 4: Simplify right side
    129,096x = 38,249,971,776
  5. Step 5: Solve for x
    x = 38,249,971,776/129,096
  6. Step 6: Final answer
    x = 296,290.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.