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Finding the Third Proportional to 48,025 and 103,448

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Solution

The third proportional to 48,025 and 103,448 is: 222,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,025 : 103,448 = 103,448 : x
  2. Step 2: Convert to fraction form
    48,025/103,448 = 103,448/x
  3. Step 3: Cross multiply
    48,025x = 103,448 × 103,448
  4. Step 4: Simplify right side
    48,025x = 10,701,488,704
  5. Step 5: Solve for x
    x = 10,701,488,704/48,025
  6. Step 6: Final answer
    x = 222,831.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.