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Finding the Third Proportional to 41,516.30 and 85,985.30

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Solution

The third proportional to 41,516.30 and 85,985.30 is: 178,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,516.30 : 85,985.30 = 85,985.30 : x
  2. Step 2: Convert to fraction form
    41,516.30/85,985.30 = 85,985.30/x
  3. Step 3: Cross multiply
    41,516.30x = 85,985.30 × 85,985.30
  4. Step 4: Simplify right side
    41,516.30x = 7,393,471,278.68
  5. Step 5: Solve for x
    x = 7,393,471,278.68/41,516.30
  6. Step 6: Final answer
    x = 178,086.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.