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Finding the Third Proportional to 44,923 and 74,865

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Solution

The third proportional to 44,923 and 74,865 is: 124,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,923 : 74,865 = 74,865 : x
  2. Step 2: Convert to fraction form
    44,923/74,865 = 74,865/x
  3. Step 3: Cross multiply
    44,923x = 74,865 × 74,865
  4. Step 4: Simplify right side
    44,923x = 5,604,768,225
  5. Step 5: Solve for x
    x = 5,604,768,225/44,923
  6. Step 6: Final answer
    x = 124,763.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.