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Finding the Third Proportional to 63,922 and 100,068

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Solution

The third proportional to 63,922 and 100,068 is: 156,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,922 : 100,068 = 100,068 : x
  2. Step 2: Convert to fraction form
    63,922/100,068 = 100,068/x
  3. Step 3: Cross multiply
    63,922x = 100,068 × 100,068
  4. Step 4: Simplify right side
    63,922x = 10,013,604,624
  5. Step 5: Solve for x
    x = 10,013,604,624/63,922
  6. Step 6: Final answer
    x = 156,653.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.