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Finding the Third Proportional to 33,111 and 72,371

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Solution

The third proportional to 33,111 and 72,371 is: 158,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111 : 72,371 = 72,371 : x
  2. Step 2: Convert to fraction form
    33,111/72,371 = 72,371/x
  3. Step 3: Cross multiply
    33,111x = 72,371 × 72,371
  4. Step 4: Simplify right side
    33,111x = 5,237,561,641
  5. Step 5: Solve for x
    x = 5,237,561,641/33,111
  6. Step 6: Final answer
    x = 158,181.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.