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Finding the Third Proportional to 49,348.50 and 119,325

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Solution

The third proportional to 49,348.50 and 119,325 is: 288,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,348.50 : 119,325 = 119,325 : x
  2. Step 2: Convert to fraction form
    49,348.50/119,325 = 119,325/x
  3. Step 3: Cross multiply
    49,348.50x = 119,325 × 119,325
  4. Step 4: Simplify right side
    49,348.50x = 14,238,455,625
  5. Step 5: Solve for x
    x = 14,238,455,625/49,348.50
  6. Step 6: Final answer
    x = 288,528.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.