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Finding the Third Proportional to 76,929 and 164,808

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Solution

The third proportional to 76,929 and 164,808 is: 353,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,929 : 164,808 = 164,808 : x
  2. Step 2: Convert to fraction form
    76,929/164,808 = 164,808/x
  3. Step 3: Cross multiply
    76,929x = 164,808 × 164,808
  4. Step 4: Simplify right side
    76,929x = 27,161,676,864
  5. Step 5: Solve for x
    x = 27,161,676,864/76,929
  6. Step 6: Final answer
    x = 353,074.61

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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.