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Finding the Third Proportional to 76,904 and 164,742

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Solution

The third proportional to 76,904 and 164,742 is: 352,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,904 : 164,742 = 164,742 : x
  2. Step 2: Convert to fraction form
    76,904/164,742 = 164,742/x
  3. Step 3: Cross multiply
    76,904x = 164,742 × 164,742
  4. Step 4: Simplify right side
    76,904x = 27,139,926,564
  5. Step 5: Solve for x
    x = 27,139,926,564/76,904
  6. Step 6: Final answer
    x = 352,906.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.