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Finding the Third Proportional to 60,789 and 126,410

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Solution

The third proportional to 60,789 and 126,410 is: 262,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,789 : 126,410 = 126,410 : x
  2. Step 2: Convert to fraction form
    60,789/126,410 = 126,410/x
  3. Step 3: Cross multiply
    60,789x = 126,410 × 126,410
  4. Step 4: Simplify right side
    60,789x = 15,979,488,100
  5. Step 5: Solve for x
    x = 15,979,488,100/60,789
  6. Step 6: Final answer
    x = 262,868.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.