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Finding the Third Proportional to 48,544 and 105,628

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Solution

The third proportional to 48,544 and 105,628 is: 229,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,544 : 105,628 = 105,628 : x
  2. Step 2: Convert to fraction form
    48,544/105,628 = 105,628/x
  3. Step 3: Cross multiply
    48,544x = 105,628 × 105,628
  4. Step 4: Simplify right side
    48,544x = 11,157,274,384
  5. Step 5: Solve for x
    x = 11,157,274,384/48,544
  6. Step 6: Final answer
    x = 229,838.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.