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Finding the Third Proportional to 84,382 and 118,677

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Solution

The third proportional to 84,382 and 118,677 is: 166,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,382 : 118,677 = 118,677 : x
  2. Step 2: Convert to fraction form
    84,382/118,677 = 118,677/x
  3. Step 3: Cross multiply
    84,382x = 118,677 × 118,677
  4. Step 4: Simplify right side
    84,382x = 14,084,230,329
  5. Step 5: Solve for x
    x = 14,084,230,329/84,382
  6. Step 6: Final answer
    x = 166,910.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.