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Finding the Third Proportional to 85,273 and 176,030

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Solution

The third proportional to 85,273 and 176,030 is: 363,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,273 : 176,030 = 176,030 : x
  2. Step 2: Convert to fraction form
    85,273/176,030 = 176,030/x
  3. Step 3: Cross multiply
    85,273x = 176,030 × 176,030
  4. Step 4: Simplify right side
    85,273x = 30,986,560,900
  5. Step 5: Solve for x
    x = 30,986,560,900/85,273
  6. Step 6: Final answer
    x = 363,380.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.