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Finding the Third Proportional to 79,724 and 125,075

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Solution

The third proportional to 79,724 and 125,075 is: 196,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,724 : 125,075 = 125,075 : x
  2. Step 2: Convert to fraction form
    79,724/125,075 = 125,075/x
  3. Step 3: Cross multiply
    79,724x = 125,075 × 125,075
  4. Step 4: Simplify right side
    79,724x = 15,643,755,625
  5. Step 5: Solve for x
    x = 15,643,755,625/79,724
  6. Step 6: Final answer
    x = 196,223.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.