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Finding the Third Proportional to 93,382 and 140,166

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Solution

The third proportional to 93,382 and 140,166 is: 210,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,382 : 140,166 = 140,166 : x
  2. Step 2: Convert to fraction form
    93,382/140,166 = 140,166/x
  3. Step 3: Cross multiply
    93,382x = 140,166 × 140,166
  4. Step 4: Simplify right side
    93,382x = 19,646,507,556
  5. Step 5: Solve for x
    x = 19,646,507,556/93,382
  6. Step 6: Final answer
    x = 210,388.59

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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.