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Finding the Third Proportional to 76,410.75 and 165,957.75

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Solution

The third proportional to 76,410.75 and 165,957.75 is: 360,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.75 : 165,957.75 = 165,957.75 : x
  2. Step 2: Convert to fraction form
    76,410.75/165,957.75 = 165,957.75/x
  3. Step 3: Cross multiply
    76,410.75x = 165,957.75 × 165,957.75
  4. Step 4: Simplify right side
    76,410.75x = 27,541,974,785.06
  5. Step 5: Solve for x
    x = 27,541,974,785.06/76,410.75
  6. Step 6: Final answer
    x = 360,446.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.