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Finding the Third Proportional to 83,270 and 120,369

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Solution

The third proportional to 83,270 and 120,369 is: 173,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270 : 120,369 = 120,369 : x
  2. Step 2: Convert to fraction form
    83,270/120,369 = 120,369/x
  3. Step 3: Cross multiply
    83,270x = 120,369 × 120,369
  4. Step 4: Simplify right side
    83,270x = 14,488,696,161
  5. Step 5: Solve for x
    x = 14,488,696,161/83,270
  6. Step 6: Final answer
    x = 173,996.59

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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.