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Finding the Third Proportional to 48,868 and 97,462

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Solution

The third proportional to 48,868 and 97,462 is: 194,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,868 : 97,462 = 97,462 : x
  2. Step 2: Convert to fraction form
    48,868/97,462 = 97,462/x
  3. Step 3: Cross multiply
    48,868x = 97,462 × 97,462
  4. Step 4: Simplify right side
    48,868x = 9,498,841,444
  5. Step 5: Solve for x
    x = 9,498,841,444/48,868
  6. Step 6: Final answer
    x = 194,377.54

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.