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Finding the Third Proportional to 35,965 and 79,068

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Solution

The third proportional to 35,965 and 79,068 is: 173,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965 : 79,068 = 79,068 : x
  2. Step 2: Convert to fraction form
    35,965/79,068 = 79,068/x
  3. Step 3: Cross multiply
    35,965x = 79,068 × 79,068
  4. Step 4: Simplify right side
    35,965x = 6,251,748,624
  5. Step 5: Solve for x
    x = 6,251,748,624/35,965
  6. Step 6: Final answer
    x = 173,828.68

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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.