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Finding the Third Proportional to 93,667 and 142,832

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Solution

The third proportional to 93,667 and 142,832 is: 217,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,667 : 142,832 = 142,832 : x
  2. Step 2: Convert to fraction form
    93,667/142,832 = 142,832/x
  3. Step 3: Cross multiply
    93,667x = 142,832 × 142,832
  4. Step 4: Simplify right side
    93,667x = 20,400,980,224
  5. Step 5: Solve for x
    x = 20,400,980,224/93,667
  6. Step 6: Final answer
    x = 217,803.28

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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.