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Finding the Third Proportional to 48,620 and 107,446

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Solution

The third proportional to 48,620 and 107,446 is: 237,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,620 : 107,446 = 107,446 : x
  2. Step 2: Convert to fraction form
    48,620/107,446 = 107,446/x
  3. Step 3: Cross multiply
    48,620x = 107,446 × 107,446
  4. Step 4: Simplify right side
    48,620x = 11,544,642,916
  5. Step 5: Solve for x
    x = 11,544,642,916/48,620
  6. Step 6: Final answer
    x = 237,446.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.