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Finding the Third Proportional to 59,399 and 123,697

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Solution

The third proportional to 59,399 and 123,697 is: 257,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,399 : 123,697 = 123,697 : x
  2. Step 2: Convert to fraction form
    59,399/123,697 = 123,697/x
  3. Step 3: Cross multiply
    59,399x = 123,697 × 123,697
  4. Step 4: Simplify right side
    59,399x = 15,300,947,809
  5. Step 5: Solve for x
    x = 15,300,947,809/59,399
  6. Step 6: Final answer
    x = 257,596.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.