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Finding the Third Proportional to 79,045 and 120,575

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Solution

The third proportional to 79,045 and 120,575 is: 183,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,045 : 120,575 = 120,575 : x
  2. Step 2: Convert to fraction form
    79,045/120,575 = 120,575/x
  3. Step 3: Cross multiply
    79,045x = 120,575 × 120,575
  4. Step 4: Simplify right side
    79,045x = 14,538,330,625
  5. Step 5: Solve for x
    x = 14,538,330,625/79,045
  6. Step 6: Final answer
    x = 183,924.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.