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Finding the Third Proportional to 79,757 and 123,420

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Solution

The third proportional to 79,757 and 123,420 is: 190,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,757 : 123,420 = 123,420 : x
  2. Step 2: Convert to fraction form
    79,757/123,420 = 123,420/x
  3. Step 3: Cross multiply
    79,757x = 123,420 × 123,420
  4. Step 4: Simplify right side
    79,757x = 15,232,496,400
  5. Step 5: Solve for x
    x = 15,232,496,400/79,757
  6. Step 6: Final answer
    x = 190,986.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.