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Finding the Third Proportional to 49,363 and 108,562

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Solution

The third proportional to 49,363 and 108,562 is: 238,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,363 : 108,562 = 108,562 : x
  2. Step 2: Convert to fraction form
    49,363/108,562 = 108,562/x
  3. Step 3: Cross multiply
    49,363x = 108,562 × 108,562
  4. Step 4: Simplify right side
    49,363x = 11,785,707,844
  5. Step 5: Solve for x
    x = 11,785,707,844/49,363
  6. Step 6: Final answer
    x = 238,755.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.