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Finding the Third Proportional to 79,577 and 107,693

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Solution

The third proportional to 79,577 and 107,693 is: 145,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,577 : 107,693 = 107,693 : x
  2. Step 2: Convert to fraction form
    79,577/107,693 = 107,693/x
  3. Step 3: Cross multiply
    79,577x = 107,693 × 107,693
  4. Step 4: Simplify right side
    79,577x = 11,597,782,249
  5. Step 5: Solve for x
    x = 11,597,782,249/79,577
  6. Step 6: Final answer
    x = 145,742.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.