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Finding the Third Proportional to 48,646 and 106,519

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Solution

The third proportional to 48,646 and 106,519 is: 233,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646 : 106,519 = 106,519 : x
  2. Step 2: Convert to fraction form
    48,646/106,519 = 106,519/x
  3. Step 3: Cross multiply
    48,646x = 106,519 × 106,519
  4. Step 4: Simplify right side
    48,646x = 11,346,297,361
  5. Step 5: Solve for x
    x = 11,346,297,361/48,646
  6. Step 6: Final answer
    x = 233,242.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.