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Finding the Third Proportional to 53,467 and 79,369

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Solution

The third proportional to 53,467 and 79,369 is: 117,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467 : 79,369 = 79,369 : x
  2. Step 2: Convert to fraction form
    53,467/79,369 = 79,369/x
  3. Step 3: Cross multiply
    53,467x = 79,369 × 79,369
  4. Step 4: Simplify right side
    53,467x = 6,299,438,161
  5. Step 5: Solve for x
    x = 6,299,438,161/53,467
  6. Step 6: Final answer
    x = 117,819.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.