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Finding the Third Proportional to 48,794 and 106,513

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Solution

The third proportional to 48,794 and 106,513 is: 232,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,794 : 106,513 = 106,513 : x
  2. Step 2: Convert to fraction form
    48,794/106,513 = 106,513/x
  3. Step 3: Cross multiply
    48,794x = 106,513 × 106,513
  4. Step 4: Simplify right side
    48,794x = 11,345,019,169
  5. Step 5: Solve for x
    x = 11,345,019,169/48,794
  6. Step 6: Final answer
    x = 232,508.49

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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.