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Finding the Third Proportional to 123,940 and 189,630

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Solution

The third proportional to 123,940 and 189,630 is: 290,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,940 : 189,630 = 189,630 : x
  2. Step 2: Convert to fraction form
    123,940/189,630 = 189,630/x
  3. Step 3: Cross multiply
    123,940x = 189,630 × 189,630
  4. Step 4: Simplify right side
    123,940x = 35,959,536,900
  5. Step 5: Solve for x
    x = 35,959,536,900/123,940
  6. Step 6: Final answer
    x = 290,136.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.