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Finding the Third Proportional to 49,083 and 106,482

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Solution

The third proportional to 49,083 and 106,482 is: 231,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,083 : 106,482 = 106,482 : x
  2. Step 2: Convert to fraction form
    49,083/106,482 = 106,482/x
  3. Step 3: Cross multiply
    49,083x = 106,482 × 106,482
  4. Step 4: Simplify right side
    49,083x = 11,338,416,324
  5. Step 5: Solve for x
    x = 11,338,416,324/49,083
  6. Step 6: Final answer
    x = 231,004.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.