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Finding the Third Proportional to 64,857 and 98,614.50

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Solution

The third proportional to 64,857 and 98,614.50 is: 149,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,857 : 98,614.50 = 98,614.50 : x
  2. Step 2: Convert to fraction form
    64,857/98,614.50 = 98,614.50/x
  3. Step 3: Cross multiply
    64,857x = 98,614.50 × 98,614.50
  4. Step 4: Simplify right side
    64,857x = 9,724,819,610.25
  5. Step 5: Solve for x
    x = 9,724,819,610.25/64,857
  6. Step 6: Final answer
    x = 149,942.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.