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Finding the Third Proportional to 76,706 and 164,072

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Solution

The third proportional to 76,706 and 164,072 is: 350,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706 : 164,072 = 164,072 : x
  2. Step 2: Convert to fraction form
    76,706/164,072 = 164,072/x
  3. Step 3: Cross multiply
    76,706x = 164,072 × 164,072
  4. Step 4: Simplify right side
    76,706x = 26,919,621,184
  5. Step 5: Solve for x
    x = 26,919,621,184/76,706
  6. Step 6: Final answer
    x = 350,945.44

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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.