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Finding the Third Proportional to 76,884 and 164,706

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Solution

The third proportional to 76,884 and 164,706 is: 352,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884 : 164,706 = 164,706 : x
  2. Step 2: Convert to fraction form
    76,884/164,706 = 164,706/x
  3. Step 3: Cross multiply
    76,884x = 164,706 × 164,706
  4. Step 4: Simplify right side
    76,884x = 27,128,066,436
  5. Step 5: Solve for x
    x = 27,128,066,436/76,884
  6. Step 6: Final answer
    x = 352,844.11

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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.