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Finding the Third Proportional to 110,944.69 and 176,725.55

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Solution

The third proportional to 110,944.69 and 176,725.55 is: 281,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,944.69 : 176,725.55 = 176,725.55 : x
  2. Step 2: Convert to fraction form
    110,944.69/176,725.55 = 176,725.55/x
  3. Step 3: Cross multiply
    110,944.69x = 176,725.55 × 176,725.55
  4. Step 4: Simplify right side
    110,944.69x = 31,231,918,918.27
  5. Step 5: Solve for x
    x = 31,231,918,918.27/110,944.69
  6. Step 6: Final answer
    x = 281,508.92

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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.