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Finding the Third Proportional to 49,496 and 103,852

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Solution

The third proportional to 49,496 and 103,852 is: 217,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496 : 103,852 = 103,852 : x
  2. Step 2: Convert to fraction form
    49,496/103,852 = 103,852/x
  3. Step 3: Cross multiply
    49,496x = 103,852 × 103,852
  4. Step 4: Simplify right side
    49,496x = 10,785,237,904
  5. Step 5: Solve for x
    x = 10,785,237,904/49,496
  6. Step 6: Final answer
    x = 217,901.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.