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Finding the Third Proportional to 48,118 and 103,678

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Solution

The third proportional to 48,118 and 103,678 is: 223,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,118 : 103,678 = 103,678 : x
  2. Step 2: Convert to fraction form
    48,118/103,678 = 103,678/x
  3. Step 3: Cross multiply
    48,118x = 103,678 × 103,678
  4. Step 4: Simplify right side
    48,118x = 10,749,127,684
  5. Step 5: Solve for x
    x = 10,749,127,684/48,118
  6. Step 6: Final answer
    x = 223,390.99

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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.