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Finding the Third Proportional to 76,479.19 and 164,026.27

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Solution

The third proportional to 76,479.19 and 164,026.27 is: 351,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,479.19 : 164,026.27 = 164,026.27 : x
  2. Step 2: Convert to fraction form
    76,479.19/164,026.27 = 164,026.27/x
  3. Step 3: Cross multiply
    76,479.19x = 164,026.27 × 164,026.27
  4. Step 4: Simplify right side
    76,479.19x = 26,904,615,814.88
  5. Step 5: Solve for x
    x = 26,904,615,814.88/76,479.19
  6. Step 6: Final answer
    x = 351,790.03

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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.