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Finding the Third Proportional to 79,624 and 122,200

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Solution

The third proportional to 79,624 and 122,200 is: 187,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,624 : 122,200 = 122,200 : x
  2. Step 2: Convert to fraction form
    79,624/122,200 = 122,200/x
  3. Step 3: Cross multiply
    79,624x = 122,200 × 122,200
  4. Step 4: Simplify right side
    79,624x = 14,932,840,000
  5. Step 5: Solve for x
    x = 14,932,840,000/79,624
  6. Step 6: Final answer
    x = 187,541.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.