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Finding the Third Proportional to 111,121 and 176,524

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Solution

The third proportional to 111,121 and 176,524 is: 280,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121 : 176,524 = 176,524 : x
  2. Step 2: Convert to fraction form
    111,121/176,524 = 176,524/x
  3. Step 3: Cross multiply
    111,121x = 176,524 × 176,524
  4. Step 4: Simplify right side
    111,121x = 31,160,722,576
  5. Step 5: Solve for x
    x = 31,160,722,576/111,121
  6. Step 6: Final answer
    x = 280,421.55

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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.