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Finding the Third Proportional to 60,578 and 123,628

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Solution

The third proportional to 60,578 and 123,628 is: 252,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,578 : 123,628 = 123,628 : x
  2. Step 2: Convert to fraction form
    60,578/123,628 = 123,628/x
  3. Step 3: Cross multiply
    60,578x = 123,628 × 123,628
  4. Step 4: Simplify right side
    60,578x = 15,283,882,384
  5. Step 5: Solve for x
    x = 15,283,882,384/60,578
  6. Step 6: Final answer
    x = 252,300.87

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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.