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Finding the Third Proportional to 79,201 and 164,015.94

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Solution

The third proportional to 79,201 and 164,015.94 is: 339,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,201 : 164,015.94 = 164,015.94 : x
  2. Step 2: Convert to fraction form
    79,201/164,015.94 = 164,015.94/x
  3. Step 3: Cross multiply
    79,201x = 164,015.94 × 164,015.94
  4. Step 4: Simplify right side
    79,201x = 26,901,227,754.00
  5. Step 5: Solve for x
    x = 26,901,227,754.00/79,201
  6. Step 6: Final answer
    x = 339,657.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.