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Finding the Third Proportional to 48,538 and 102,861

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Solution

The third proportional to 48,538 and 102,861 is: 217,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,538 : 102,861 = 102,861 : x
  2. Step 2: Convert to fraction form
    48,538/102,861 = 102,861/x
  3. Step 3: Cross multiply
    48,538x = 102,861 × 102,861
  4. Step 4: Simplify right side
    48,538x = 10,580,385,321
  5. Step 5: Solve for x
    x = 10,580,385,321/48,538
  6. Step 6: Final answer
    x = 217,981.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.