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Finding the Third Proportional to 79,616 and 124,266

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Solution

The third proportional to 79,616 and 124,266 is: 193,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,616 : 124,266 = 124,266 : x
  2. Step 2: Convert to fraction form
    79,616/124,266 = 124,266/x
  3. Step 3: Cross multiply
    79,616x = 124,266 × 124,266
  4. Step 4: Simplify right side
    79,616x = 15,442,038,756
  5. Step 5: Solve for x
    x = 15,442,038,756/79,616
  6. Step 6: Final answer
    x = 193,956.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.