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Finding the Third Proportional to 93,082 and 132,954

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Solution

The third proportional to 93,082 and 132,954 is: 189,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,082 : 132,954 = 132,954 : x
  2. Step 2: Convert to fraction form
    93,082/132,954 = 132,954/x
  3. Step 3: Cross multiply
    93,082x = 132,954 × 132,954
  4. Step 4: Simplify right side
    93,082x = 17,676,766,116
  5. Step 5: Solve for x
    x = 17,676,766,116/93,082
  6. Step 6: Final answer
    x = 189,905.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.