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Finding the Third Proportional to 63,961 and 102,707

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Solution

The third proportional to 63,961 and 102,707 is: 164,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,961 : 102,707 = 102,707 : x
  2. Step 2: Convert to fraction form
    63,961/102,707 = 102,707/x
  3. Step 3: Cross multiply
    63,961x = 102,707 × 102,707
  4. Step 4: Simplify right side
    63,961x = 10,548,727,849
  5. Step 5: Solve for x
    x = 10,548,727,849/63,961
  6. Step 6: Final answer
    x = 164,924.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.