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Finding the Third Proportional to 85,546.13 and 176,516.72

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Solution

The third proportional to 85,546.13 and 176,516.72 is: 364,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,546.13 : 176,516.72 = 176,516.72 : x
  2. Step 2: Convert to fraction form
    85,546.13/176,516.72 = 176,516.72/x
  3. Step 3: Cross multiply
    85,546.13x = 176,516.72 × 176,516.72
  4. Step 4: Simplify right side
    85,546.13x = 31,158,151,998.27
  5. Step 5: Solve for x
    x = 31,158,151,998.27/85,546.13
  6. Step 6: Final answer
    x = 364,226.34

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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.