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Finding the Third Proportional to 72,069 and 115,797

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Solution

The third proportional to 72,069 and 115,797 is: 186,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,069 : 115,797 = 115,797 : x
  2. Step 2: Convert to fraction form
    72,069/115,797 = 115,797/x
  3. Step 3: Cross multiply
    72,069x = 115,797 × 115,797
  4. Step 4: Simplify right side
    72,069x = 13,408,945,209
  5. Step 5: Solve for x
    x = 13,408,945,209/72,069
  6. Step 6: Final answer
    x = 186,057.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.