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Finding the Third Proportional to 85,314 and 176,092

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Solution

The third proportional to 85,314 and 176,092 is: 363,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314 : 176,092 = 176,092 : x
  2. Step 2: Convert to fraction form
    85,314/176,092 = 176,092/x
  3. Step 3: Cross multiply
    85,314x = 176,092 × 176,092
  4. Step 4: Simplify right side
    85,314x = 31,008,392,464
  5. Step 5: Solve for x
    x = 31,008,392,464/85,314
  6. Step 6: Final answer
    x = 363,461.95

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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.