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Finding the Third Proportional to 48,682 and 104,410

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Solution

The third proportional to 48,682 and 104,410 is: 223,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,682 : 104,410 = 104,410 : x
  2. Step 2: Convert to fraction form
    48,682/104,410 = 104,410/x
  3. Step 3: Cross multiply
    48,682x = 104,410 × 104,410
  4. Step 4: Simplify right side
    48,682x = 10,901,448,100
  5. Step 5: Solve for x
    x = 10,901,448,100/48,682
  6. Step 6: Final answer
    x = 223,931.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.