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Finding the Third Proportional to 48,102 and 103,308

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Solution

The third proportional to 48,102 and 103,308 is: 221,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102 : 103,308 = 103,308 : x
  2. Step 2: Convert to fraction form
    48,102/103,308 = 103,308/x
  3. Step 3: Cross multiply
    48,102x = 103,308 × 103,308
  4. Step 4: Simplify right side
    48,102x = 10,672,542,864
  5. Step 5: Solve for x
    x = 10,672,542,864/48,102
  6. Step 6: Final answer
    x = 221,873.16

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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.