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Finding the Third Proportional to 76,274 and 158,862

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Solution

The third proportional to 76,274 and 158,862 is: 330,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,274 : 158,862 = 158,862 : x
  2. Step 2: Convert to fraction form
    76,274/158,862 = 158,862/x
  3. Step 3: Cross multiply
    76,274x = 158,862 × 158,862
  4. Step 4: Simplify right side
    76,274x = 25,237,135,044
  5. Step 5: Solve for x
    x = 25,237,135,044/76,274
  6. Step 6: Final answer
    x = 330,874.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.