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Finding the Third Proportional to 51,548 and 108,628

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Solution

The third proportional to 51,548 and 108,628 is: 228,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,548 : 108,628 = 108,628 : x
  2. Step 2: Convert to fraction form
    51,548/108,628 = 108,628/x
  3. Step 3: Cross multiply
    51,548x = 108,628 × 108,628
  4. Step 4: Simplify right side
    51,548x = 11,800,042,384
  5. Step 5: Solve for x
    x = 11,800,042,384/51,548
  6. Step 6: Final answer
    x = 228,913.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.