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Finding the Third Proportional to 49,086 and 73,750.50

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Solution

The third proportional to 49,086 and 73,750.50 is: 110,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086 : 73,750.50 = 73,750.50 : x
  2. Step 2: Convert to fraction form
    49,086/73,750.50 = 73,750.50/x
  3. Step 3: Cross multiply
    49,086x = 73,750.50 × 73,750.50
  4. Step 4: Simplify right side
    49,086x = 5,439,136,250.25
  5. Step 5: Solve for x
    x = 5,439,136,250.25/49,086
  6. Step 6: Final answer
    x = 110,808.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.