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Finding the Third Proportional to 79,846 and 125,254

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Solution

The third proportional to 79,846 and 125,254 is: 196,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,846 : 125,254 = 125,254 : x
  2. Step 2: Convert to fraction form
    79,846/125,254 = 125,254/x
  3. Step 3: Cross multiply
    79,846x = 125,254 × 125,254
  4. Step 4: Simplify right side
    79,846x = 15,688,564,516
  5. Step 5: Solve for x
    x = 15,688,564,516/79,846
  6. Step 6: Final answer
    x = 196,485.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.