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Finding the Third Proportional to 119,282 and 182,745

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Solution

The third proportional to 119,282 and 182,745 is: 279,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,282 : 182,745 = 182,745 : x
  2. Step 2: Convert to fraction form
    119,282/182,745 = 182,745/x
  3. Step 3: Cross multiply
    119,282x = 182,745 × 182,745
  4. Step 4: Simplify right side
    119,282x = 33,395,735,025
  5. Step 5: Solve for x
    x = 33,395,735,025/119,282
  6. Step 6: Final answer
    x = 279,972.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.