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Finding the Third Proportional to 63,891 and 100,023

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Solution

The third proportional to 63,891 and 100,023 is: 156,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,891 : 100,023 = 100,023 : x
  2. Step 2: Convert to fraction form
    63,891/100,023 = 100,023/x
  3. Step 3: Cross multiply
    63,891x = 100,023 × 100,023
  4. Step 4: Simplify right side
    63,891x = 10,004,600,529
  5. Step 5: Solve for x
    x = 10,004,600,529/63,891
  6. Step 6: Final answer
    x = 156,588.57

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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.