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Finding the Third Proportional to 44,068 and 85,922

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Solution

The third proportional to 44,068 and 85,922 is: 167,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,068 : 85,922 = 85,922 : x
  2. Step 2: Convert to fraction form
    44,068/85,922 = 85,922/x
  3. Step 3: Cross multiply
    44,068x = 85,922 × 85,922
  4. Step 4: Simplify right side
    44,068x = 7,382,590,084
  5. Step 5: Solve for x
    x = 7,382,590,084/44,068
  6. Step 6: Final answer
    x = 167,527.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.