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Finding the Third Proportional to 118,682 and 183,703

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Solution

The third proportional to 118,682 and 183,703 is: 284,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,682 : 183,703 = 183,703 : x
  2. Step 2: Convert to fraction form
    118,682/183,703 = 183,703/x
  3. Step 3: Cross multiply
    118,682x = 183,703 × 183,703
  4. Step 4: Simplify right side
    118,682x = 33,746,792,209
  5. Step 5: Solve for x
    x = 33,746,792,209/118,682
  6. Step 6: Final answer
    x = 284,346.34

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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.