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Finding the Third Proportional to 93,903 and 140,826

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Solution

The third proportional to 93,903 and 140,826 is: 211,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,903 : 140,826 = 140,826 : x
  2. Step 2: Convert to fraction form
    93,903/140,826 = 140,826/x
  3. Step 3: Cross multiply
    93,903x = 140,826 × 140,826
  4. Step 4: Simplify right side
    93,903x = 19,831,962,276
  5. Step 5: Solve for x
    x = 19,831,962,276/93,903
  6. Step 6: Final answer
    x = 211,196.26

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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.