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Finding the Third Proportional to 65,677 and 104,135

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Solution

The third proportional to 65,677 and 104,135 is: 165,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677 : 104,135 = 104,135 : x
  2. Step 2: Convert to fraction form
    65,677/104,135 = 104,135/x
  3. Step 3: Cross multiply
    65,677x = 104,135 × 104,135
  4. Step 4: Simplify right side
    65,677x = 10,844,098,225
  5. Step 5: Solve for x
    x = 10,844,098,225/65,677
  6. Step 6: Final answer
    x = 165,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.