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Finding the Third Proportional to 35,175 and 75,849

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Solution

The third proportional to 35,175 and 75,849 is: 163,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,175 : 75,849 = 75,849 : x
  2. Step 2: Convert to fraction form
    35,175/75,849 = 75,849/x
  3. Step 3: Cross multiply
    35,175x = 75,849 × 75,849
  4. Step 4: Simplify right side
    35,175x = 5,753,070,801
  5. Step 5: Solve for x
    x = 5,753,070,801/35,175
  6. Step 6: Final answer
    x = 163,555.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.