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Finding the Third Proportional to 93,568.50 and 205,254

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Solution

The third proportional to 93,568.50 and 205,254 is: 450,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,568.50 : 205,254 = 205,254 : x
  2. Step 2: Convert to fraction form
    93,568.50/205,254 = 205,254/x
  3. Step 3: Cross multiply
    93,568.50x = 205,254 × 205,254
  4. Step 4: Simplify right side
    93,568.50x = 42,129,204,516
  5. Step 5: Solve for x
    x = 42,129,204,516/93,568.50
  6. Step 6: Final answer
    x = 450,249.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.