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Finding the Third Proportional to 76,206 and 165,123

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Solution

The third proportional to 76,206 and 165,123 is: 357,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206 : 165,123 = 165,123 : x
  2. Step 2: Convert to fraction form
    76,206/165,123 = 165,123/x
  3. Step 3: Cross multiply
    76,206x = 165,123 × 165,123
  4. Step 4: Simplify right side
    76,206x = 27,265,605,129
  5. Step 5: Solve for x
    x = 27,265,605,129/76,206
  6. Step 6: Final answer
    x = 357,788.17

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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.