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Finding the Third Proportional to 48,118 and 115,921

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Solution

The third proportional to 48,118 and 115,921 is: 279,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,118 : 115,921 = 115,921 : x
  2. Step 2: Convert to fraction form
    48,118/115,921 = 115,921/x
  3. Step 3: Cross multiply
    48,118x = 115,921 × 115,921
  4. Step 4: Simplify right side
    48,118x = 13,437,678,241
  5. Step 5: Solve for x
    x = 13,437,678,241/48,118
  6. Step 6: Final answer
    x = 279,265.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.