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Finding the Third Proportional to 129,928 and 195,748

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Solution

The third proportional to 129,928 and 195,748 is: 294,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,928 : 195,748 = 195,748 : x
  2. Step 2: Convert to fraction form
    129,928/195,748 = 195,748/x
  3. Step 3: Cross multiply
    129,928x = 195,748 × 195,748
  4. Step 4: Simplify right side
    129,928x = 38,317,279,504
  5. Step 5: Solve for x
    x = 38,317,279,504/129,928
  6. Step 6: Final answer
    x = 294,911.64

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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.