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Finding the Third Proportional to 79,704 and 175,392

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Solution

The third proportional to 79,704 and 175,392 is: 385,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,704 : 175,392 = 175,392 : x
  2. Step 2: Convert to fraction form
    79,704/175,392 = 175,392/x
  3. Step 3: Cross multiply
    79,704x = 175,392 × 175,392
  4. Step 4: Simplify right side
    79,704x = 30,762,353,664
  5. Step 5: Solve for x
    x = 30,762,353,664/79,704
  6. Step 6: Final answer
    x = 385,957.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.