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Finding the Third Proportional to 48,684 and 104,964

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Solution

The third proportional to 48,684 and 104,964 is: 226,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 104,964 = 104,964 : x
  2. Step 2: Convert to fraction form
    48,684/104,964 = 104,964/x
  3. Step 3: Cross multiply
    48,684x = 104,964 × 104,964
  4. Step 4: Simplify right side
    48,684x = 11,017,441,296
  5. Step 5: Solve for x
    x = 11,017,441,296/48,684
  6. Step 6: Final answer
    x = 226,305.18

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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.