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Finding the Third Proportional to 48,744 and 99,216

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Solution

The third proportional to 48,744 and 99,216 is: 201,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744 : 99,216 = 99,216 : x
  2. Step 2: Convert to fraction form
    48,744/99,216 = 99,216/x
  3. Step 3: Cross multiply
    48,744x = 99,216 × 99,216
  4. Step 4: Simplify right side
    48,744x = 9,843,814,656
  5. Step 5: Solve for x
    x = 9,843,814,656/48,744
  6. Step 6: Final answer
    x = 201,949.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.