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Finding the Third Proportional to 48,246 and 103,875

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Solution

The third proportional to 48,246 and 103,875 is: 223,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,246 : 103,875 = 103,875 : x
  2. Step 2: Convert to fraction form
    48,246/103,875 = 103,875/x
  3. Step 3: Cross multiply
    48,246x = 103,875 × 103,875
  4. Step 4: Simplify right side
    48,246x = 10,790,015,625
  5. Step 5: Solve for x
    x = 10,790,015,625/48,246
  6. Step 6: Final answer
    x = 223,645.81

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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.