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Finding the Third Proportional to 111,120 and 176,523

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Solution

The third proportional to 111,120 and 176,523 is: 280,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,120 : 176,523 = 176,523 : x
  2. Step 2: Convert to fraction form
    111,120/176,523 = 176,523/x
  3. Step 3: Cross multiply
    111,120x = 176,523 × 176,523
  4. Step 4: Simplify right side
    111,120x = 31,160,369,529
  5. Step 5: Solve for x
    x = 31,160,369,529/111,120
  6. Step 6: Final answer
    x = 280,420.89

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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.