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Finding the Third Proportional to 48,799 and 106,522

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Solution

The third proportional to 48,799 and 106,522 is: 232,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799 : 106,522 = 106,522 : x
  2. Step 2: Convert to fraction form
    48,799/106,522 = 106,522/x
  3. Step 3: Cross multiply
    48,799x = 106,522 × 106,522
  4. Step 4: Simplify right side
    48,799x = 11,346,936,484
  5. Step 5: Solve for x
    x = 11,346,936,484/48,799
  6. Step 6: Final answer
    x = 232,523.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.