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Finding the Third Proportional to 84,287.25 and 118,564.88

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Solution

The third proportional to 84,287.25 and 118,564.88 is: 166,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287.25 : 118,564.88 = 118,564.88 : x
  2. Step 2: Convert to fraction form
    84,287.25/118,564.88 = 118,564.88/x
  3. Step 3: Cross multiply
    84,287.25x = 118,564.88 × 118,564.88
  4. Step 4: Simplify right side
    84,287.25x = 14,057,629,583.77
  5. Step 5: Solve for x
    x = 14,057,629,583.77/84,287.25
  6. Step 6: Final answer
    x = 166,782.40

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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.