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Finding the Third Proportional to 93,996 and 140,960

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Solution

The third proportional to 93,996 and 140,960 is: 211,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,996 : 140,960 = 140,960 : x
  2. Step 2: Convert to fraction form
    93,996/140,960 = 140,960/x
  3. Step 3: Cross multiply
    93,996x = 140,960 × 140,960
  4. Step 4: Simplify right side
    93,996x = 19,869,721,600
  5. Step 5: Solve for x
    x = 19,869,721,600/93,996
  6. Step 6: Final answer
    x = 211,389.01

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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.