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Finding the Third Proportional to 76,446 and 179,871

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Solution

The third proportional to 76,446 and 179,871 is: 423,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446 : 179,871 = 179,871 : x
  2. Step 2: Convert to fraction form
    76,446/179,871 = 179,871/x
  3. Step 3: Cross multiply
    76,446x = 179,871 × 179,871
  4. Step 4: Simplify right side
    76,446x = 32,353,576,641
  5. Step 5: Solve for x
    x = 32,353,576,641/76,446
  6. Step 6: Final answer
    x = 423,221.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.