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Finding the Third Proportional to 35,366 and 76,867

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Solution

The third proportional to 35,366 and 76,867 is: 167,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,366 : 76,867 = 76,867 : x
  2. Step 2: Convert to fraction form
    35,366/76,867 = 76,867/x
  3. Step 3: Cross multiply
    35,366x = 76,867 × 76,867
  4. Step 4: Simplify right side
    35,366x = 5,908,535,689
  5. Step 5: Solve for x
    x = 5,908,535,689/35,366
  6. Step 6: Final answer
    x = 167,068.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.