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Finding the Third Proportional to 65,961 and 102,207

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Solution

The third proportional to 65,961 and 102,207 is: 158,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,961 : 102,207 = 102,207 : x
  2. Step 2: Convert to fraction form
    65,961/102,207 = 102,207/x
  3. Step 3: Cross multiply
    65,961x = 102,207 × 102,207
  4. Step 4: Simplify right side
    65,961x = 10,446,270,849
  5. Step 5: Solve for x
    x = 10,446,270,849/65,961
  6. Step 6: Final answer
    x = 158,370.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.