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Finding the Third Proportional to 137,884.50 and 189,873

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Solution

The third proportional to 137,884.50 and 189,873 is: 261,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.50 : 189,873 = 189,873 : x
  2. Step 2: Convert to fraction form
    137,884.50/189,873 = 189,873/x
  3. Step 3: Cross multiply
    137,884.50x = 189,873 × 189,873
  4. Step 4: Simplify right side
    137,884.50x = 36,051,756,129
  5. Step 5: Solve for x
    x = 36,051,756,129/137,884.50
  6. Step 6: Final answer
    x = 261,463.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.