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Finding the Third Proportional to 49,640 and 108,029

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Solution

The third proportional to 49,640 and 108,029 is: 235,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640 : 108,029 = 108,029 : x
  2. Step 2: Convert to fraction form
    49,640/108,029 = 108,029/x
  3. Step 3: Cross multiply
    49,640x = 108,029 × 108,029
  4. Step 4: Simplify right side
    49,640x = 11,670,264,841
  5. Step 5: Solve for x
    x = 11,670,264,841/49,640
  6. Step 6: Final answer
    x = 235,098.00

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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.