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Finding the Third Proportional to 135,248 and 195,920

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Solution

The third proportional to 135,248 and 195,920 is: 283,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,248 : 195,920 = 195,920 : x
  2. Step 2: Convert to fraction form
    135,248/195,920 = 195,920/x
  3. Step 3: Cross multiply
    135,248x = 195,920 × 195,920
  4. Step 4: Simplify right side
    135,248x = 38,384,646,400
  5. Step 5: Solve for x
    x = 38,384,646,400/135,248
  6. Step 6: Final answer
    x = 283,809.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.