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Finding the Third Proportional to 33,360 and 72,656

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Solution

The third proportional to 33,360 and 72,656 is: 158,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,360 : 72,656 = 72,656 : x
  2. Step 2: Convert to fraction form
    33,360/72,656 = 72,656/x
  3. Step 3: Cross multiply
    33,360x = 72,656 × 72,656
  4. Step 4: Simplify right side
    33,360x = 5,278,894,336
  5. Step 5: Solve for x
    x = 5,278,894,336/33,360
  6. Step 6: Final answer
    x = 158,240.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.