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Finding the Third Proportional to 84,385 and 118,682

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Solution

The third proportional to 84,385 and 118,682 is: 166,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,385 : 118,682 = 118,682 : x
  2. Step 2: Convert to fraction form
    84,385/118,682 = 118,682/x
  3. Step 3: Cross multiply
    84,385x = 118,682 × 118,682
  4. Step 4: Simplify right side
    84,385x = 14,085,417,124
  5. Step 5: Solve for x
    x = 14,085,417,124/84,385
  6. Step 6: Final answer
    x = 166,918.49

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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.