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Finding the Third Proportional to 64,968 and 141,600

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Solution

The third proportional to 64,968 and 141,600 is: 308,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,968 : 141,600 = 141,600 : x
  2. Step 2: Convert to fraction form
    64,968/141,600 = 141,600/x
  3. Step 3: Cross multiply
    64,968x = 141,600 × 141,600
  4. Step 4: Simplify right side
    64,968x = 20,050,560,000
  5. Step 5: Solve for x
    x = 20,050,560,000/64,968
  6. Step 6: Final answer
    x = 308,622.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.