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Finding the Third Proportional to 48,096 and 98,496

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Solution

The third proportional to 48,096 and 98,496 is: 201,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096 : 98,496 = 98,496 : x
  2. Step 2: Convert to fraction form
    48,096/98,496 = 98,496/x
  3. Step 3: Cross multiply
    48,096x = 98,496 × 98,496
  4. Step 4: Simplify right side
    48,096x = 9,701,462,016
  5. Step 5: Solve for x
    x = 9,701,462,016/48,096
  6. Step 6: Final answer
    x = 201,710.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.