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Finding the Third Proportional to 84,949.50 and 118,816

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Solution

The third proportional to 84,949.50 and 118,816 is: 166,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,949.50 : 118,816 = 118,816 : x
  2. Step 2: Convert to fraction form
    84,949.50/118,816 = 118,816/x
  3. Step 3: Cross multiply
    84,949.50x = 118,816 × 118,816
  4. Step 4: Simplify right side
    84,949.50x = 14,117,241,856
  5. Step 5: Solve for x
    x = 14,117,241,856/84,949.50
  6. Step 6: Final answer
    x = 166,183.93

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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.