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Finding the Third Proportional to 111,046.50 and 176,613.75

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Solution

The third proportional to 111,046.50 and 176,613.75 is: 280,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,046.50 : 176,613.75 = 176,613.75 : x
  2. Step 2: Convert to fraction form
    111,046.50/176,613.75 = 176,613.75/x
  3. Step 3: Cross multiply
    111,046.50x = 176,613.75 × 176,613.75
  4. Step 4: Simplify right side
    111,046.50x = 31,192,416,689.06
  5. Step 5: Solve for x
    x = 31,192,416,689.06/111,046.50
  6. Step 6: Final answer
    x = 280,895.09

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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.