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Finding the Third Proportional to 76,699 and 164,058

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Solution

The third proportional to 76,699 and 164,058 is: 350,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,699 : 164,058 = 164,058 : x
  2. Step 2: Convert to fraction form
    76,699/164,058 = 164,058/x
  3. Step 3: Cross multiply
    76,699x = 164,058 × 164,058
  4. Step 4: Simplify right side
    76,699x = 26,915,027,364
  5. Step 5: Solve for x
    x = 26,915,027,364/76,699
  6. Step 6: Final answer
    x = 350,917.58

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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.