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Finding the Third Proportional to 123,759 and 193,030

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Solution

The third proportional to 123,759 and 193,030 is: 301,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,759 : 193,030 = 193,030 : x
  2. Step 2: Convert to fraction form
    123,759/193,030 = 193,030/x
  3. Step 3: Cross multiply
    123,759x = 193,030 × 193,030
  4. Step 4: Simplify right side
    123,759x = 37,260,580,900
  5. Step 5: Solve for x
    x = 37,260,580,900/123,759
  6. Step 6: Final answer
    x = 301,073.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.