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Finding the Third Proportional to 76,709.25 and 164,080.13

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Solution

The third proportional to 76,709.25 and 164,080.13 is: 350,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.25 : 164,080.13 = 164,080.13 : x
  2. Step 2: Convert to fraction form
    76,709.25/164,080.13 = 164,080.13/x
  3. Step 3: Cross multiply
    76,709.25x = 164,080.13 × 164,080.13
  4. Step 4: Simplify right side
    76,709.25x = 26,922,287,420.02
  5. Step 5: Solve for x
    x = 26,922,287,420.02/76,709.25
  6. Step 6: Final answer
    x = 350,965.33

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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.