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Finding the Third Proportional to 65,724 and 101,956

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Solution

The third proportional to 65,724 and 101,956 is: 158,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724 : 101,956 = 101,956 : x
  2. Step 2: Convert to fraction form
    65,724/101,956 = 101,956/x
  3. Step 3: Cross multiply
    65,724x = 101,956 × 101,956
  4. Step 4: Simplify right side
    65,724x = 10,395,025,936
  5. Step 5: Solve for x
    x = 10,395,025,936/65,724
  6. Step 6: Final answer
    x = 158,161.80

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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.