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Finding the Third Proportional to 48,771 and 75,181.50

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Solution

The third proportional to 48,771 and 75,181.50 is: 115,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,771 : 75,181.50 = 75,181.50 : x
  2. Step 2: Convert to fraction form
    48,771/75,181.50 = 75,181.50/x
  3. Step 3: Cross multiply
    48,771x = 75,181.50 × 75,181.50
  4. Step 4: Simplify right side
    48,771x = 5,652,257,942.25
  5. Step 5: Solve for x
    x = 5,652,257,942.25/48,771
  6. Step 6: Final answer
    x = 115,893.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.