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Finding the Third Proportional to 60,709 and 123,826

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Solution

The third proportional to 60,709 and 123,826 is: 252,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,709 : 123,826 = 123,826 : x
  2. Step 2: Convert to fraction form
    60,709/123,826 = 123,826/x
  3. Step 3: Cross multiply
    60,709x = 123,826 × 123,826
  4. Step 4: Simplify right side
    60,709x = 15,332,878,276
  5. Step 5: Solve for x
    x = 15,332,878,276/60,709
  6. Step 6: Final answer
    x = 252,563.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.