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Finding the Third Proportional to 48,840 and 103,678

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Solution

The third proportional to 48,840 and 103,678 is: 220,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,840 : 103,678 = 103,678 : x
  2. Step 2: Convert to fraction form
    48,840/103,678 = 103,678/x
  3. Step 3: Cross multiply
    48,840x = 103,678 × 103,678
  4. Step 4: Simplify right side
    48,840x = 10,749,127,684
  5. Step 5: Solve for x
    x = 10,749,127,684/48,840
  6. Step 6: Final answer
    x = 220,088.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.