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Finding the Third Proportional to 48,429 and 104,508

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Solution

The third proportional to 48,429 and 104,508 is: 225,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,429 : 104,508 = 104,508 : x
  2. Step 2: Convert to fraction form
    48,429/104,508 = 104,508/x
  3. Step 3: Cross multiply
    48,429x = 104,508 × 104,508
  4. Step 4: Simplify right side
    48,429x = 10,921,922,064
  5. Step 5: Solve for x
    x = 10,921,922,064/48,429
  6. Step 6: Final answer
    x = 225,524.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.