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Finding the Third Proportional to 48,684 and 106,379.25

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Solution

The third proportional to 48,684 and 106,379.25 is: 232,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 106,379.25 = 106,379.25 : x
  2. Step 2: Convert to fraction form
    48,684/106,379.25 = 106,379.25/x
  3. Step 3: Cross multiply
    48,684x = 106,379.25 × 106,379.25
  4. Step 4: Simplify right side
    48,684x = 11,316,544,830.56
  5. Step 5: Solve for x
    x = 11,316,544,830.56/48,684
  6. Step 6: Final answer
    x = 232,448.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.