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Finding the Third Proportional to 76,206 and 165,989

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Solution

The third proportional to 76,206 and 165,989 is: 361,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206 : 165,989 = 165,989 : x
  2. Step 2: Convert to fraction form
    76,206/165,989 = 165,989/x
  3. Step 3: Cross multiply
    76,206x = 165,989 × 165,989
  4. Step 4: Simplify right side
    76,206x = 27,552,348,121
  5. Step 5: Solve for x
    x = 27,552,348,121/76,206
  6. Step 6: Final answer
    x = 361,550.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.