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Finding the Third Proportional to 49,458 and 73,099.50

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Solution

The third proportional to 49,458 and 73,099.50 is: 108,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,458 : 73,099.50 = 73,099.50 : x
  2. Step 2: Convert to fraction form
    49,458/73,099.50 = 73,099.50/x
  3. Step 3: Cross multiply
    49,458x = 73,099.50 × 73,099.50
  4. Step 4: Simplify right side
    49,458x = 5,343,536,900.25
  5. Step 5: Solve for x
    x = 5,343,536,900.25/49,458
  6. Step 6: Final answer
    x = 108,041.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.