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Finding the Third Proportional to 89,129 and 193,628

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Solution

The third proportional to 89,129 and 193,628 is: 420,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,129 : 193,628 = 193,628 : x
  2. Step 2: Convert to fraction form
    89,129/193,628 = 193,628/x
  3. Step 3: Cross multiply
    89,129x = 193,628 × 193,628
  4. Step 4: Simplify right side
    89,129x = 37,491,802,384
  5. Step 5: Solve for x
    x = 37,491,802,384/89,129
  6. Step 6: Final answer
    x = 420,646.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.