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Finding the Third Proportional to 48,655 and 104,802

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Solution

The third proportional to 48,655 and 104,802 is: 225,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,655 : 104,802 = 104,802 : x
  2. Step 2: Convert to fraction form
    48,655/104,802 = 104,802/x
  3. Step 3: Cross multiply
    48,655x = 104,802 × 104,802
  4. Step 4: Simplify right side
    48,655x = 10,983,459,204
  5. Step 5: Solve for x
    x = 10,983,459,204/48,655
  6. Step 6: Final answer
    x = 225,741.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.