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Finding the Third Proportional to 97,761 and 146,205

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Solution

The third proportional to 97,761 and 146,205 is: 218,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,761 : 146,205 = 146,205 : x
  2. Step 2: Convert to fraction form
    97,761/146,205 = 146,205/x
  3. Step 3: Cross multiply
    97,761x = 146,205 × 146,205
  4. Step 4: Simplify right side
    97,761x = 21,375,902,025
  5. Step 5: Solve for x
    x = 21,375,902,025/97,761
  6. Step 6: Final answer
    x = 218,654.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.