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Finding the Third Proportional to 65,676 and 101,593

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Solution

The third proportional to 65,676 and 101,593 is: 157,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676 : 101,593 = 101,593 : x
  2. Step 2: Convert to fraction form
    65,676/101,593 = 101,593/x
  3. Step 3: Cross multiply
    65,676x = 101,593 × 101,593
  4. Step 4: Simplify right side
    65,676x = 10,321,137,649
  5. Step 5: Solve for x
    x = 10,321,137,649/65,676
  6. Step 6: Final answer
    x = 157,152.35

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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.