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Finding the Third Proportional to 35,985 and 79,125

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Solution

The third proportional to 35,985 and 79,125 is: 173,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985 : 79,125 = 79,125 : x
  2. Step 2: Convert to fraction form
    35,985/79,125 = 79,125/x
  3. Step 3: Cross multiply
    35,985x = 79,125 × 79,125
  4. Step 4: Simplify right side
    35,985x = 6,260,765,625
  5. Step 5: Solve for x
    x = 6,260,765,625/35,985
  6. Step 6: Final answer
    x = 173,982.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.