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Finding the Third Proportional to 76,848 and 164,802

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Solution

The third proportional to 76,848 and 164,802 is: 353,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,848 : 164,802 = 164,802 : x
  2. Step 2: Convert to fraction form
    76,848/164,802 = 164,802/x
  3. Step 3: Cross multiply
    76,848x = 164,802 × 164,802
  4. Step 4: Simplify right side
    76,848x = 27,159,699,204
  5. Step 5: Solve for x
    x = 27,159,699,204/76,848
  6. Step 6: Final answer
    x = 353,421.03

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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.