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Finding the Third Proportional to 84,912 and 118,782

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Solution

The third proportional to 84,912 and 118,782 is: 166,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912 : 118,782 = 118,782 : x
  2. Step 2: Convert to fraction form
    84,912/118,782 = 118,782/x
  3. Step 3: Cross multiply
    84,912x = 118,782 × 118,782
  4. Step 4: Simplify right side
    84,912x = 14,109,163,524
  5. Step 5: Solve for x
    x = 14,109,163,524/84,912
  6. Step 6: Final answer
    x = 166,162.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.