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Finding the Third Proportional to 111,116.50 and 176,516.75

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Solution

The third proportional to 111,116.50 and 176,516.75 is: 280,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,116.50 : 176,516.75 = 176,516.75 : x
  2. Step 2: Convert to fraction form
    111,116.50/176,516.75 = 176,516.75/x
  3. Step 3: Cross multiply
    111,116.50x = 176,516.75 × 176,516.75
  4. Step 4: Simplify right side
    111,116.50x = 31,158,163,030.56
  5. Step 5: Solve for x
    x = 31,158,163,030.56/111,116.50
  6. Step 6: Final answer
    x = 280,409.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.