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Finding the Third Proportional to 118,749 and 183,771

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Solution

The third proportional to 118,749 and 183,771 is: 284,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,749 : 183,771 = 183,771 : x
  2. Step 2: Convert to fraction form
    118,749/183,771 = 183,771/x
  3. Step 3: Cross multiply
    118,749x = 183,771 × 183,771
  4. Step 4: Simplify right side
    118,749x = 33,771,780,441
  5. Step 5: Solve for x
    x = 33,771,780,441/118,749
  6. Step 6: Final answer
    x = 284,396.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.