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Finding the Third Proportional to 64,982.25 and 142,194

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Solution

The third proportional to 64,982.25 and 142,194 is: 311,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982.25 : 142,194 = 142,194 : x
  2. Step 2: Convert to fraction form
    64,982.25/142,194 = 142,194/x
  3. Step 3: Cross multiply
    64,982.25x = 142,194 × 142,194
  4. Step 4: Simplify right side
    64,982.25x = 20,219,133,636
  5. Step 5: Solve for x
    x = 20,219,133,636/64,982.25
  6. Step 6: Final answer
    x = 311,148.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.