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Finding the Third Proportional to 71,600 and 141,392

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Solution

The third proportional to 71,600 and 141,392 is: 279,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,600 : 141,392 = 141,392 : x
  2. Step 2: Convert to fraction form
    71,600/141,392 = 141,392/x
  3. Step 3: Cross multiply
    71,600x = 141,392 × 141,392
  4. Step 4: Simplify right side
    71,600x = 19,991,697,664
  5. Step 5: Solve for x
    x = 19,991,697,664/71,600
  6. Step 6: Final answer
    x = 279,213.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.