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Finding the Third Proportional to 33,156 and 72,522

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Solution

The third proportional to 33,156 and 72,522 is: 158,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156 : 72,522 = 72,522 : x
  2. Step 2: Convert to fraction form
    33,156/72,522 = 72,522/x
  3. Step 3: Cross multiply
    33,156x = 72,522 × 72,522
  4. Step 4: Simplify right side
    33,156x = 5,259,440,484
  5. Step 5: Solve for x
    x = 5,259,440,484/33,156
  6. Step 6: Final answer
    x = 158,627.11

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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.