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Finding the Third Proportional to 65,186 and 101,675

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Solution

The third proportional to 65,186 and 101,675 is: 158,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186 : 101,675 = 101,675 : x
  2. Step 2: Convert to fraction form
    65,186/101,675 = 101,675/x
  3. Step 3: Cross multiply
    65,186x = 101,675 × 101,675
  4. Step 4: Simplify right side
    65,186x = 10,337,805,625
  5. Step 5: Solve for x
    x = 10,337,805,625/65,186
  6. Step 6: Final answer
    x = 158,589.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.