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Finding the Third Proportional to 65,808 and 101,925

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Solution

The third proportional to 65,808 and 101,925 is: 157,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808 : 101,925 = 101,925 : x
  2. Step 2: Convert to fraction form
    65,808/101,925 = 101,925/x
  3. Step 3: Cross multiply
    65,808x = 101,925 × 101,925
  4. Step 4: Simplify right side
    65,808x = 10,388,705,625
  5. Step 5: Solve for x
    x = 10,388,705,625/65,808
  6. Step 6: Final answer
    x = 157,863.87

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