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Finding the Third Proportional to 93,409 and 134,274

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Solution

The third proportional to 93,409 and 134,274 is: 193,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,409 : 134,274 = 134,274 : x
  2. Step 2: Convert to fraction form
    93,409/134,274 = 134,274/x
  3. Step 3: Cross multiply
    93,409x = 134,274 × 134,274
  4. Step 4: Simplify right side
    93,409x = 18,029,507,076
  5. Step 5: Solve for x
    x = 18,029,507,076/93,409
  6. Step 6: Final answer
    x = 193,016.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.