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Finding the Third Proportional to 75,967 and 117,933

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Solution

The third proportional to 75,967 and 117,933 is: 183,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967 : 117,933 = 117,933 : x
  2. Step 2: Convert to fraction form
    75,967/117,933 = 117,933/x
  3. Step 3: Cross multiply
    75,967x = 117,933 × 117,933
  4. Step 4: Simplify right side
    75,967x = 13,908,192,489
  5. Step 5: Solve for x
    x = 13,908,192,489/75,967
  6. Step 6: Final answer
    x = 183,082.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.