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Finding the Third Proportional to 33,467 and 72,118

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Solution

The third proportional to 33,467 and 72,118 is: 155,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467 : 72,118 = 72,118 : x
  2. Step 2: Convert to fraction form
    33,467/72,118 = 72,118/x
  3. Step 3: Cross multiply
    33,467x = 72,118 × 72,118
  4. Step 4: Simplify right side
    33,467x = 5,201,005,924
  5. Step 5: Solve for x
    x = 5,201,005,924/33,467
  6. Step 6: Final answer
    x = 155,407.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.