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Finding the Third Proportional to 51,624 and 79,392

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Solution

The third proportional to 51,624 and 79,392 is: 122,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 79,392 = 79,392 : x
  2. Step 2: Convert to fraction form
    51,624/79,392 = 79,392/x
  3. Step 3: Cross multiply
    51,624x = 79,392 × 79,392
  4. Step 4: Simplify right side
    51,624x = 6,303,089,664
  5. Step 5: Solve for x
    x = 6,303,089,664/51,624
  6. Step 6: Final answer
    x = 122,096.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.