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Finding the Third Proportional to 96,704 and 151,860

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Solution

The third proportional to 96,704 and 151,860 is: 238,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,704 : 151,860 = 151,860 : x
  2. Step 2: Convert to fraction form
    96,704/151,860 = 151,860/x
  3. Step 3: Cross multiply
    96,704x = 151,860 × 151,860
  4. Step 4: Simplify right side
    96,704x = 23,061,459,600
  5. Step 5: Solve for x
    x = 23,061,459,600/96,704
  6. Step 6: Final answer
    x = 238,474.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.