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Finding the Third Proportional to 129,692 and 282,108

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Solution

The third proportional to 129,692 and 282,108 is: 613,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,692 : 282,108 = 282,108 : x
  2. Step 2: Convert to fraction form
    129,692/282,108 = 282,108/x
  3. Step 3: Cross multiply
    129,692x = 282,108 × 282,108
  4. Step 4: Simplify right side
    129,692x = 79,584,923,664
  5. Step 5: Solve for x
    x = 79,584,923,664/129,692
  6. Step 6: Final answer
    x = 613,645.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.