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Finding the Third Proportional to 33,136 and 77,416

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Solution

The third proportional to 33,136 and 77,416 is: 180,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136 : 77,416 = 77,416 : x
  2. Step 2: Convert to fraction form
    33,136/77,416 = 77,416/x
  3. Step 3: Cross multiply
    33,136x = 77,416 × 77,416
  4. Step 4: Simplify right side
    33,136x = 5,993,237,056
  5. Step 5: Solve for x
    x = 5,993,237,056/33,136
  6. Step 6: Final answer
    x = 180,867.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.