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Finding the Third Proportional to 33,068 and 70,222

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Solution

The third proportional to 33,068 and 70,222 is: 149,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,068 : 70,222 = 70,222 : x
  2. Step 2: Convert to fraction form
    33,068/70,222 = 70,222/x
  3. Step 3: Cross multiply
    33,068x = 70,222 × 70,222
  4. Step 4: Simplify right side
    33,068x = 4,931,129,284
  5. Step 5: Solve for x
    x = 4,931,129,284/33,068
  6. Step 6: Final answer
    x = 149,120.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.