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Finding the Third Proportional to 84,950 and 118,817

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Solution

The third proportional to 84,950 and 118,817 is: 166,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,950 : 118,817 = 118,817 : x
  2. Step 2: Convert to fraction form
    84,950/118,817 = 118,817/x
  3. Step 3: Cross multiply
    84,950x = 118,817 × 118,817
  4. Step 4: Simplify right side
    84,950x = 14,117,479,489
  5. Step 5: Solve for x
    x = 14,117,479,489/84,950
  6. Step 6: Final answer
    x = 166,185.75

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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.